Contact Geometry of Slant Submanifolds

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Publisher : Springer Nature
ISBN 13 : 9811600171
Total Pages : 372 pages
Book Rating : 4.8/5 (116 download)

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Book Synopsis Contact Geometry of Slant Submanifolds by : Bang-Yen Chen

Download or read book Contact Geometry of Slant Submanifolds written by Bang-Yen Chen and published by Springer Nature. This book was released on 2022-06-27 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains an up-to-date survey and self-contained chapters on contact slant submanifolds and geometry, authored by internationally renowned researchers. The notion of slant submanifolds was introduced by Prof. B.Y. Chen in 1990, and A. Lotta extended this notion in the framework of contact geometry in 1996. Numerous differential geometers have since obtained interesting results on contact slant submanifolds. The book gathers a wide range of topics such as warped product semi-slant submanifolds, slant submersions, semi-slant ξ┴ -, hemi-slant ξ┴ -Riemannian submersions, quasi hemi-slant submanifolds, slant submanifolds of metric f-manifolds, slant lightlike submanifolds, geometric inequalities for slant submanifolds, 3-slant submanifolds, and semi-slant submanifolds of almost paracontact manifolds. The book also includes interesting results on slant curves and magnetic curves, where the latter represents trajectories moving on a Riemannian manifold under the action of magnetic field. It presents detailed information on the most recent advances in the area, making it of much value to scientists, educators and graduate students.

Complex Geometry of Slant Submanifolds

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Publisher : Springer Nature
ISBN 13 : 981160021X
Total Pages : 393 pages
Book Rating : 4.8/5 (116 download)

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Book Synopsis Complex Geometry of Slant Submanifolds by : Bang-Yen Chen

Download or read book Complex Geometry of Slant Submanifolds written by Bang-Yen Chen and published by Springer Nature. This book was released on 2022-05-11 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains an up-to-date survey and self-contained chapters on complex slant submanifolds and geometry, authored by internationally renowned researchers. The book discusses a wide range of topics, including slant surfaces, slant submersions, nearly Kaehler, locally conformal Kaehler, and quaternion Kaehler manifolds. It provides several classification results of minimal slant surfaces, quasi-minimal slant surfaces, slant surfaces with parallel mean curvature vector, pseudo-umbilical slant surfaces, and biharmonic and quasi biharmonic slant surfaces in Lorentzian complex space forms. Furthermore, this book includes new results on slant submanifolds of para-Hermitian manifolds. This book also includes recent results on slant lightlike submanifolds of indefinite Hermitian manifolds, which are of extensive use in general theory of relativity and potential applications in radiation and electromagnetic fields. Various open problems and conjectures on slant surfaces in complex space forms are also included in the book. It presents detailed information on the most recent advances in the area, making it valuable for scientists, educators and graduate students.

Differential Geometry Of Warped Product Manifolds And Submanifolds

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Publisher : World Scientific
ISBN 13 : 9813208945
Total Pages : 517 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Differential Geometry Of Warped Product Manifolds And Submanifolds by : Bang-yen Chen

Download or read book Differential Geometry Of Warped Product Manifolds And Submanifolds written by Bang-yen Chen and published by World Scientific. This book was released on 2017-05-29 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: A warped product manifold is a Riemannian or pseudo-Riemannian manifold whose metric tensor can be decomposed into a Cartesian product of the y geometry and the x geometry — except that the x-part is warped, that is, it is rescaled by a scalar function of the other coordinates y. The notion of warped product manifolds plays very important roles not only in geometry but also in mathematical physics, especially in general relativity. In fact, many basic solutions of the Einstein field equations, including the Schwarzschild solution and the Robertson-Walker models, are warped product manifolds.The first part of this volume provides a self-contained and accessible introduction to the important subject of pseudo-Riemannian manifolds and submanifolds. The second part presents a detailed and up-to-date account on important results of warped product manifolds, including several important spacetimes such as Robertson-Walker's and Schwarzschild's.The famous John Nash's embedding theorem published in 1956 implies that every warped product manifold can be realized as a warped product submanifold in a suitable Euclidean space. The study of warped product submanifolds in various important ambient spaces from an extrinsic point of view was initiated by the author around the beginning of this century.The last part of this volume contains an extensive and comprehensive survey of numerous important results on the geometry of warped product submanifolds done during this century by many geometers.

Geometry of Submanifolds and Applications

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Publisher : Springer Nature
ISBN 13 : 981999750X
Total Pages : 230 pages
Book Rating : 4.8/5 (199 download)

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Book Synopsis Geometry of Submanifolds and Applications by : Bang-Yen Chen

Download or read book Geometry of Submanifolds and Applications written by Bang-Yen Chen and published by Springer Nature. This book was released on with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Geometry of Submanifolds

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Publisher : Courier Dover Publications
ISBN 13 : 0486832783
Total Pages : 193 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis Geometry of Submanifolds by : Bang-Yen Chen

Download or read book Geometry of Submanifolds written by Bang-Yen Chen and published by Courier Dover Publications. This book was released on 2019-06-12 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first two chapters of this frequently cited reference provide background material in Riemannian geometry and the theory of submanifolds. Subsequent chapters explore minimal submanifolds, submanifolds with parallel mean curvature vector, conformally flat manifolds, and umbilical manifolds. The final chapter discusses geometric inequalities of submanifolds, results in Morse theory and their applications, and total mean curvature of a submanifold. Suitable for graduate students and mathematicians in the area of classical and modern differential geometries, the treatment is largely self-contained. Problems sets conclude each chapter, and an extensive bibliography provides background for students wishing to conduct further research in this area. This new edition includes the author's corrections.

Geometry of Slant Submanifolds

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Publisher :
ISBN 13 :
Total Pages : 123 pages
Book Rating : 4.:/5 (239 download)

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Book Synopsis Geometry of Slant Submanifolds by : Bang-yen Chen

Download or read book Geometry of Slant Submanifolds written by Bang-yen Chen and published by . This book was released on 1990 with total page 123 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Structures On Manifolds

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Publisher : World Scientific
ISBN 13 : 9814602809
Total Pages : 520 pages
Book Rating : 4.8/5 (146 download)

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Book Synopsis Structures On Manifolds by : Masahiro Kon

Download or read book Structures On Manifolds written by Masahiro Kon and published by World Scientific. This book was released on 1985-02-01 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents: Riemannian ManifoldsSubmanifolds of Riemannian ManifoldsComplex ManifoldsSubmanifolds of Kaehlerian ManifoldsContact ManifoldsSubmanifolds of Sasakian Manifoldsf-StructuresProduct ManifoldsSubmersions Readership: Mathematicians. Keywords:Riemannian Manifold;Submanifold;Complex Manifold;Contact Manifold;Kaehlerian Manifold;Sasakian Manifold;Anti-Invariant Submanifold;CR Submanifold;Contact CR Submanifold;Submersion

Inequalities in Geometry and Applications

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Publisher : MDPI
ISBN 13 : 303650298X
Total Pages : 208 pages
Book Rating : 4.0/5 (365 download)

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Book Synopsis Inequalities in Geometry and Applications by : Gabriel-Eduard Vîlcu

Download or read book Inequalities in Geometry and Applications written by Gabriel-Eduard Vîlcu and published by MDPI. This book was released on 2021-03-09 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the recent developments in the field of geometric inequalities and their applications. The volume covers a vast range of topics, such as complex geometry, contact geometry, statistical manifolds, Riemannian submanifolds, optimization theory, topology of manifolds, log-concave functions, Obata differential equation, Chen invariants, Einstein spaces, warped products, solitons, isoperimetric problem, Erdös–Mordell inequality, Barrow’s inequality, Simpson inequality, Chen inequalities, and q-integral inequalities. By exposing new concepts, techniques and ideas, this book will certainly stimulate further research in the field.

Geometry, Analysis & Applications, Procs Of The Intl Conf

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Publisher : World Scientific
ISBN 13 : 9814542652
Total Pages : 422 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Geometry, Analysis & Applications, Procs Of The Intl Conf by : Ram Shankar Pathak

Download or read book Geometry, Analysis & Applications, Procs Of The Intl Conf written by Ram Shankar Pathak and published by World Scientific. This book was released on 2001-05-23 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometrical concepts play a significant role in the analysis of physical systems. Apart from the intrinsic interest, the knowledge of differentiable manifolds has become useful — even mandatory — in an ever-increasing number of areas of mathematics and its applications. Many results/concepts in analysis find their most natural (generalized) setting in manifold theory. An interrelation of geometry and analysis can be found in this volume.The book presents original research, besides a few survey articles by eminent experts from all over the world on current trends of research in differential and algebraic geometry, classical and modern analysis including the theory of distributions (linear and nonlinear), partial differential equations and wavelets.

Differential Geometry, Algebra, and Analysis

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Publisher : Springer Nature
ISBN 13 : 9811554552
Total Pages : 284 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Differential Geometry, Algebra, and Analysis by : Mohammad Hasan Shahid

Download or read book Differential Geometry, Algebra, and Analysis written by Mohammad Hasan Shahid and published by Springer Nature. This book was released on 2020-09-04 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of selected research papers, some of which were presented at the International Conference on Differential Geometry, Algebra and Analysis (ICDGAA 2016), held at the Department of Mathematics, Jamia Millia Islamia, New Delhi, from 15–17 November 2016. It covers a wide range of topics—geometry of submanifolds, geometry of statistical submanifolds, ring theory, module theory, optimization theory, and approximation theory—which exhibit new ideas and methodologies for current research in differential geometry, algebra and analysis. Providing new results with rigorous proofs, this book is, therefore, of much interest to readers who wish to learn new techniques in these areas of mathematics.

Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 9401720894
Total Pages : 311 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications by : Krishan L. Duggal

Download or read book Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications written by Krishan L. Duggal and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about the light like (degenerate) geometry of submanifolds needed to fill a gap in the general theory of submanifolds. The growing importance of light like hypersurfaces in mathematical physics, in particular their extensive use in relativity, and very limited information available on the general theory of lightlike submanifolds, motivated the present authors, in 1990, to do collaborative research on the subject matter of this book. Based on a series of author's papers (Bejancu [3], Bejancu-Duggal [1,3], Dug gal [13], Duggal-Bejancu [1,2,3]) and several other researchers, this volume was conceived and developed during the Fall '91 and Fall '94 visits of Bejancu to the University of Windsor, Canada. The primary difference between the lightlike submanifold and that of its non degenerate counterpart arises due to the fact that in the first case, the normal vector bundle intersects with the tangent bundle of the submanifold. Thus, one fails to use, in the usual way, the theory of non-degenerate submanifolds (cf. Chen [1]) to define the induced geometric objects (such as linear connection, second fundamental form, Gauss and Weingarten equations) on the light like submanifold. Some work is known on null hypersurfaces and degenerate submanifolds (see an up-to-date list of references on pages 138 and 140 respectively). Our approach, in this book, has the following outstanding features: (a) It is the first-ever attempt of an up-to-date information on null curves, lightlike hypersur faces and submanifolds, consistent with the theory of non-degenerate submanifolds.

International Journal of Mathematical Combinatorics, Volume 1, 2015

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 144 pages
Book Rating : 4./5 ( download)

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Book Synopsis International Journal of Mathematical Combinatorics, Volume 1, 2015 by : Linfan Mao

Download or read book International Journal of Mathematical Combinatorics, Volume 1, 2015 written by Linfan Mao and published by Infinite Study. This book was released on with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: The International J. Mathematical Combinatorics is a fully refereed international journal, sponsored by the MADIS of Chinese Academy of Sciences and published in USA quarterly, which publishes original research papers and survey articles in all aspects of mathematical combinatorics, Smarandache multi-spaces, Smarandache geometries, non-Euclidean geometry, topology and their applications to other sciences.

Differential Geometry of Slant Surfaces

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Publisher :
ISBN 13 :
Total Pages : 204 pages
Book Rating : 4.3/5 (129 download)

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Book Synopsis Differential Geometry of Slant Surfaces by : Yoshihiko Tazawa

Download or read book Differential Geometry of Slant Surfaces written by Yoshihiko Tazawa and published by . This book was released on 1989 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Differential Geometry of Lightlike Submanifolds

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Publisher : Springer Science & Business Media
ISBN 13 : 3034602510
Total Pages : 484 pages
Book Rating : 4.0/5 (346 download)

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Book Synopsis Differential Geometry of Lightlike Submanifolds by : Krishan L. Duggal

Download or read book Differential Geometry of Lightlike Submanifolds written by Krishan L. Duggal and published by Springer Science & Business Media. This book was released on 2011-02-02 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents research on the latest developments in differential geometry of lightlike (degenerate) subspaces. The main focus is on hypersurfaces and a variety of submanifolds of indefinite Kählerian, Sasakian and quaternion Kähler manifolds.

Mathematical Combinatorics, vol. I, 2015

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Publisher : Infinite Study
ISBN 13 : 1599733374
Total Pages : 144 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Mathematical Combinatorics, vol. I, 2015 by : Linfan Mao

Download or read book Mathematical Combinatorics, vol. I, 2015 written by Linfan Mao and published by Infinite Study. This book was released on with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers on Antidegree Equitable Sets in a Graph, One Modulo N Gracefulness of Some Arbitrary Supersubdivision and Removal Graphs, A New Approach to Natural Lift Curves of the Spherical Indicatrices of Timelike Bertrand Mate, On Signed Graphs Whose Two Path Signed Graphs are Switching Equivalent to Their Jump Signed Graphs, and other topics. Contributors: C. Adiga, K.N.S. Krishna, Mathew Varkey T.K, Sunoj B.S, V. Ramachandran, C. Sekar, W. Barbara, P. Sugirtha, R. Vasuki, J. Venkateswari, Yizhi Chen, Siyan Li, Wei Chen, and others.

Hermitian–Grassmannian Submanifolds

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Publisher : Springer
ISBN 13 : 9811055564
Total Pages : 356 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Hermitian–Grassmannian Submanifolds by : Young Jin Suh

Download or read book Hermitian–Grassmannian Submanifolds written by Young Jin Suh and published by Springer. This book was released on 2017-09-14 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the proceedings of the 20th International Workshop on Hermitian Symmetric Spaces and Submanifolds, which was held at the Kyungpook National University from June 21 to 25, 2016. The Workshop was supported by the Research Institute of Real and Complex Manifolds (RIRCM) and the National Research Foundation of Korea (NRF). The Organizing Committee invited 30 active geometers of differential geometry and related fields from all around the globe to discuss new developments for research in the area. These proceedings provide a detailed overview of recent topics in the field of real and complex submanifolds.

CR Submanifolds of Kaehlerian and Sasakian Manifolds

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Publisher : Springer Science & Business Media
ISBN 13 : 1468494244
Total Pages : 224 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis CR Submanifolds of Kaehlerian and Sasakian Manifolds by : Kentaro Yano

Download or read book CR Submanifolds of Kaehlerian and Sasakian Manifolds written by Kentaro Yano and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: