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Geometry And Topology Of Submanifolds Iii Proceedings Of The Leeds Differential Geometry Workshop 1990
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Book Synopsis Geometry And Topology Of Submanifolds, Iii: Proceedings Of The Leeds Differential Geometry Workshop 1990 by : Alan West
Download or read book Geometry And Topology Of Submanifolds, Iii: Proceedings Of The Leeds Differential Geometry Workshop 1990 written by Alan West and published by World Scientific. This book was released on 1991-04-22 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This workshop collected together works by experts working in various aspects of the differential geometry of submanifold and discussed recent advances and unsolved problems. Two important linking lectures were on the work done by Thorbergsson and others on classifying isoparametric submanifolds of Euclidean spaces and the generalisation of these to Hilbert spaces due to Terng and others. Isoparametric submanifolds provides examples of minimal, taut submanifolds, of harmonic maps and submanifolds with parallel second fundamental form-all topics discussed at this workshop. There were also lectures on the rapidly developing topic of the affine geometry of hypersurfaces and on applications. Amomg the applications discussed are new methods for using PDE's for generating surfaces with special shapes for use in engineering design.
Book Synopsis Geometry And Topology Of Submanifolds Viii by : Ignace Van De Woestyne
Download or read book Geometry And Topology Of Submanifolds Viii written by Ignace Van De Woestyne and published by World Scientific. This book was released on 1996-10-25 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings consists of papers presented at the international meeting of Differential Geometry and Computer Vision held in Norway and of international meetings on Pure and Applied Differential Geometry held in Belgium. This volume is dedicated to Prof Dr Tom Willmore for his contribution to the development of the domain of differential geometry. Furthermore, it contains a survey on recent developments on affine differential geometry, including a list of publications and a problem list.
Book Synopsis Geometry And Topology Of Submanifolds X: Differential Geometry In Honor Of Professor S S Chern by : Weihuan Chen
Download or read book Geometry And Topology Of Submanifolds X: Differential Geometry In Honor Of Professor S S Chern written by Weihuan Chen and published by World Scientific. This book was released on 2000-11-07 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents:Progress in Affine Differential Geometry — Problem List and Continued Bibliography (T Binder & U Simon)On the Classification of Timelike Bonnet Surfaces (W H Chen & H Z Li)Affine Hyperspheres with Constant Affine Sectional Curvature (F Dillen et al.)Geometric Properties of the Curvature Operator (P Gilkey)On a Question of S S Chern Concerning Minimal Hypersurfaces of Spheres (I Hiric( & L Verstraelen)Parallel Pure Spinors on Pseudo-Riemannian Manifolds (I Kath)Twistorial Construction of Spacelike Surfaces in Lorentzian 4-Manifolds (F Leitner)Nirenberg's Problem in 90's (L Ma)A New Proof of the Homogeneity of Isoparametric Hypersurfaces with (g,m) = (6, 1) (R Miyaoka)Harmonic Maps and Negatively Curved Homogeneous Spaces (S Nishikawa)Biharmonic Morphisms Between Riemannian Manifolds (Y L Ou)Intrinsic Properties of Real Hypersurfaces in Complex Space Forms (P J Ryan)On the Nonexistence of Stable Minimal Submanifolds in Positively Pinched Riemannian Manifolds (Y B Shen & H Q Xu)Geodesic Mappings of the Ellipsoid (K Voss)η-Invariants and the Poincaré-Hopf Index Formula (W Zhang)and other papers Readership: Researchers in differential geometry and topology. Keywords:Conference;Proceedings;Berlin (Germany);Beijing (China);Geometry;Topology;Submanifolds X;Differential Geometry;Dedication
Book Synopsis Geometry And Topology Of Submanifolds Iv - Proceedings Of The Conference On Differential Geometry And Vision by : Franki Dillen
Download or read book Geometry And Topology Of Submanifolds Iv - Proceedings Of The Conference On Differential Geometry And Vision written by Franki Dillen and published by World Scientific. This book was released on 1992-07-17 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings on pure and applied differential geometry, discusses several subjects in submanifold theory, such as the Willmore problem, minimal surfaces, submanifolds of finite type, affine differential geometry, indefinite Riemannian geometry, and applications of differential geometry in human and artificial vision.
Book Synopsis Geometry and Topology of Submanifolds by : Leopold Verstraelen
Download or read book Geometry and Topology of Submanifolds written by Leopold Verstraelen and published by World Scientific Publishing Company Incorporated. This book was released on 1992 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Geometry And Topology Of Submanifolds Ix by : Leopold Verstraelen
Download or read book Geometry And Topology Of Submanifolds Ix written by Leopold Verstraelen and published by World Scientific. This book was released on 1999-07-22 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents:Affine Bibliography 1998 (T Binder et al.)Contact Metric R-Harmonic Manifolds (K Arslan & C Murathan)Local Classification of Centroaffine Tchebychev Surfaces with Constant Curvature Metric (T Binder)Hypersurfaces in Space Forms with Some Constant Curvature Functions (F Brito et al.)Some Relations Between a Submanifold and Its Focal Set (S Carter & A West)On Manifolds of Pseudosymmetric Type (F Defever et al.)Hypersurfaces with Pseudosymmetric Weyl Tensor in Conformally Flat Manifolds (R Deszcz et al.)Least-Squares Geometrical Fitting and Minimising Functions on Submanifolds (F Dillen et al.)Cubic Forms Generated by Functions on Projectively Flat Spaces (J Leder)Distinguished Submanifolds of a Sasakian Manifold (I Mihai)On the Curvature of Left Invariant Locally Conformally Para-Kählerian Metrics (Z Olszak)Remarks on Affine Variations on the Ellipsoid (M Wiehe)Dirac's Equation, Schrödinger's Equation and the Geometry of Surfaces (T J Willmore)and other papers Readership: Researchers doing differential geometry and topology. Keywords:Proceedings;Geometry;Topology;Valenciennes (France);Lyon (France);Leuven (Belgium);Dedication
Book Synopsis Geometry And Topology Of Submanifolds Vi - Pure And Applied Differential Geometry And The Theory Of Submanifolds by : Franki Dillen
Download or read book Geometry And Topology Of Submanifolds Vi - Pure And Applied Differential Geometry And The Theory Of Submanifolds written by Franki Dillen and published by World Scientific. This book was released on 1994-09-30 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: The topics covered are pure differential geometry, especially submanifolds and affine differential geometry, and applications of geometry to human vision, robotics, and gastro-entrology.
Book Synopsis Geometry and Topology of Submanifolds VIII by : Franki Dillen
Download or read book Geometry and Topology of Submanifolds VIII written by Franki Dillen and published by World Scientific Publishing Company. This book was released on 1996 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings consists of papers presented at the international meeting of Differential Geometry and Computer Vision held in Norway and of international meetings on Pure and Applied Differential Geometry held in Belgium. This volume is dedicated to Prof Dr Tom Willmore for his contribution to the development of the domain of differential geometry. Furthermore, it contains a survey on recent developments on affine differential geometry, including a list of publications and a problem list.
Book Synopsis Geometry and Topology of Submanifolds, X by : Weihuan Chen
Download or read book Geometry and Topology of Submanifolds, X written by Weihuan Chen and published by World Scientific. This book was released on 2000 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: http://www.worldscientific.com/worldscibooks/10.1142/4569
Book Synopsis Introduction to Geometry and Topology by : Werner Ballmann
Download or read book Introduction to Geometry and Topology written by Werner Ballmann and published by Birkhäuser. This book was released on 2018-07-18 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to topology, differential topology, and differential geometry. It is based on manuscripts refined through use in a variety of lecture courses. The first chapter covers elementary results and concepts from point-set topology. An exception is the Jordan Curve Theorem, which is proved for polygonal paths and is intended to give students a first glimpse into the nature of deeper topological problems. The second chapter of the book introduces manifolds and Lie groups, and examines a wide assortment of examples. Further discussion explores tangent bundles, vector bundles, differentials, vector fields, and Lie brackets of vector fields. This discussion is deepened and expanded in the third chapter, which introduces the de Rham cohomology and the oriented integral and gives proofs of the Brouwer Fixed-Point Theorem, the Jordan-Brouwer Separation Theorem, and Stokes's integral formula. The fourth and final chapter is devoted to the fundamentals of differential geometry and traces the development of ideas from curves to submanifolds of Euclidean spaces. Along the way, the book discusses connections and curvature--the central concepts of differential geometry. The discussion culminates with the Gauß equations and the version of Gauß's theorema egregium for submanifolds of arbitrary dimension and codimension. This book is primarily aimed at advanced undergraduates in mathematics and physics and is intended as the template for a one- or two-semester bachelor's course.
Book Synopsis Index of Conference Proceedings by :
Download or read book Index of Conference Proceedings written by and published by . This book was released on 1992 with total page 832 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Book Synopsis The Geometry of Submanifolds by : Yu. Aminov
Download or read book The Geometry of Submanifolds written by Yu. Aminov and published by CRC Press. This book was released on 2001-01-11 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a comprehensive presentation of the geometry of submanifolds that expands on classical results in the theory of curves and surfaces. The geometry of submanifolds starts from the idea of the extrinsic geometry of a surface, and the theory studies the position and properties of a submanifold in ambient space in both local and global aspects. Discussions include submanifolds in Euclidean states and Riemannian space, minimal submanifolds, Grassman mappings, multi-dimensional regular polyhedra, and isometric immersions of Lobachevski space into Euclidean spaces. This volume also highlights the contributions made by great geometers to the geometry of submanifolds and its areas of application.
Book Synopsis Projective Differential Geometry of Submanifolds by : M.A. Akivis
Download or read book Projective Differential Geometry of Submanifolds written by M.A. Akivis and published by Elsevier. This book was released on 1993-06-30 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, the general theory of submanifolds in a multidimensional projective space is constructed. The topics dealt with include osculating spaces and fundamental forms of different orders, asymptotic and conjugate lines, submanifolds on the Grassmannians, different aspects of the normalization problems for submanifolds (with special emphasis given to a connection in the normal bundle) and the problem of algebraizability for different kinds of submanifolds, the geometry of hypersurfaces and hyperbands, etc. A series of special types of submanifolds with special projective structures are studied: submanifolds carrying a net of conjugate lines (in particular, conjugate systems), tangentially degenerate submanifolds, submanifolds with asymptotic and conjugate distributions etc. The method of moving frames and the apparatus of exterior differential forms are systematically used in the book and the results presented can be applied to the problems dealing with the linear subspaces or their generalizations. Graduate students majoring in differential geometry will find this monograph of great interest, as will researchers in differential and algebraic geometry, complex analysis and theory of several complex variables.
Book Synopsis The Geometry and Topology of Three-Manifolds by : William P. Thurston
Download or read book The Geometry and Topology of Three-Manifolds written by William P. Thurston and published by American Mathematical Society. This book was released on 2023-06-16 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: William Thurston's work has had a profound influence on mathematics. He connected whole mathematical subjects in entirely new ways and changed the way mathematicians think about geometry, topology, foliations, group theory, dynamical systems, and the way these areas interact. His emphasis on understanding and imagination in mathematical learning and thinking are integral elements of his distinctive legacy. This four-part collection brings together in one place Thurston's major writings, many of which are appearing in publication for the first time. Volumes I–III contain commentaries by the Editors. Volume IV includes a preface by Steven P. Kerckhoff. Volume IV contains Thurston's highly influential, though previously unpublished, 1977–78 Princeton Course Notes on the Geometry and Topology of 3-manifolds. It is an indispensable part of the Thurston collection but can also be used on its own as a textbook or for self-study.
Book Synopsis The Proceedings of the Workshop on Differential Geometry and Topology by : Renata Grimaldi
Download or read book The Proceedings of the Workshop on Differential Geometry and Topology written by Renata Grimaldi and published by . This book was released on 1997 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Geometry and Topology of Three-Manifolds by : William P. Thurston
Download or read book The Geometry and Topology of Three-Manifolds written by William P. Thurston and published by American Mathematical Society. This book was released on 2022-07-19 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: William Thurston's work has had a profound influence on mathematics. He connected whole mathematical subjects in entirely new ways and changed the way mathematicians think about geometry, topology, foliations, group theory, dynamical systems, and the way these areas interact. His emphasis on understanding and imagination in mathematical learning and thinking are integral elements of his distinctive legacy. This four-part collection brings together in one place Thurston's major writings, many of which are appearing in publication for the first time. Volumes I–III contain commentaries by the Editors. Volume IV includes a preface by Steven P. Kerckhoff. Volume IV contains Thurston's highly influential, though previously unpublished, 1977–78 Princeton Course Notes on the Geometry and Topology of 3-manifolds. It is an indispensable part of the Thurston collection but can also be used on its own as a textbook or for self-study.
