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Variational Problems For Hypersurfaces In Riemannian Manifolds
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Book Synopsis Variational Problems for Hypersurfaces in Riemannian Manifolds by : Jorge Herbert Soares De Lira
Download or read book Variational Problems for Hypersurfaces in Riemannian Manifolds written by Jorge Herbert Soares De Lira and published by de Gruyter. This book was released on 2017-07-15 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometric analysis is one of the most active research fields nowadays. The interplay between geometric and analytic techniques is at the core of recent remarkable advances in differential geometry and topology. This book is aimed to be a comprehensive introduction to the basic geometric facts and PDE tools as well as to some current research topics on hypersurfaces with prescribed mean curvature in Riemannian manifolds.
Book Synopsis Invariant Theory of Variational Problems on Subspaces of a Riemannian Manifold by : Hanno Rund
Download or read book Invariant Theory of Variational Problems on Subspaces of a Riemannian Manifold written by Hanno Rund and published by . This book was released on 1971 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Isoperimetric Inequalities in Riemannian Manifolds by : Manuel Ritoré
Download or read book Isoperimetric Inequalities in Riemannian Manifolds written by Manuel Ritoré and published by Springer Nature. This book was released on 2023-10-06 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work gives a coherent introduction to isoperimetric inequalities in Riemannian manifolds, featuring many of the results obtained during the last 25 years and discussing different techniques in the area. Written in a clear and appealing style, the book includes sufficient introductory material, making it also accessible to graduate students. It will be of interest to researchers working on geometric inequalities either from a geometric or analytic point of view, but also to those interested in applying the described techniques to their field.
Book Synopsis Manfredo P. do Carmo – Selected Papers by : Manfredo P. do Carmo
Download or read book Manfredo P. do Carmo – Selected Papers written by Manfredo P. do Carmo and published by Springer Science & Business Media. This book was released on 2012-04-02 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume of selected academic papers demonstrates the significance of the contribution to mathematics made by Manfredo P. do Carmo. Twice a Guggenheim Fellow and the winner of many prestigious national and international awards, the professor at the institute of Pure and Applied Mathematics in Rio de Janeiro is well known as the author of influential textbooks such as Differential Geometry of Curves and Surfaces. The area of differential geometry is the main focus of this selection, though it also contains do Carmo's own commentaries on his life as a scientist as well as assessment of the impact of his researches and a complete list of his publications. Aspects covered in the featured papers include relations between curvature and topology, convexity and rigidity, minimal surfaces, and conformal immersions, among others. Offering more than just a retrospective focus, the volume deals with subjects of current interest to researchers, including a paper co-authored with Frank Warner on the convexity of hypersurfaces in space forms. It also presents the basic stability results for minimal surfaces in the Euclidean space obtained by the author and his collaborators. Edited by do Carmo's first student, now a celebrated academic in her own right, this collection pays tribute to one of the most distinguished mathematicians.
Book Synopsis Singularities of Caustics and Wave Fronts by : Vladimir Arnold
Download or read book Singularities of Caustics and Wave Fronts written by Vladimir Arnold and published by Springer Science & Business Media. This book was released on 2001-11-30 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: One service mathematics has rendered the 'Et moi, ... ) si j'avait su comment en revenir, human race. It has put common sense back je n'y serais point aile.' Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non The series is divergent; therefore we may be sense'. ErieT. Bell able to do something with it. O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.
Book Synopsis Symposium on the Differential Geometry of Submanifolds by : Luc Vrancken
Download or read book Symposium on the Differential Geometry of Submanifolds written by Luc Vrancken and published by Lulu.com. This book was released on 2008-06-30 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the proceedings of the «Symposium on differential geometry» which took place at the Université de Valenciennes et du Hainaut Cambrésis from July 3, 2007 until July 7, 2007.The main theme of the conference was the differential geometry of submanifolds. Special emphasis was put on the following topics:Lagrangian immersions, Minimal immersions and constant mean curvature immersions, Harmonic maps and harmonic morphisms, Variational problems, Affine differential geometry. This conference follows the tradition of the conferences in the series of « Geometry and Topology of Submanifolds », which started with the Luminy meeting in 1987 and then continued with various meetings at different places in Europe, such as amongst others Avignon, Leeds, Leuven, Brussels, Nordfjordeid, Berlin, Warszawa, Bedlewo and also in China (Beijing, 1998).
Book Synopsis Tensors, Differential Forms, and Variational Principles by : David Lovelock
Download or read book Tensors, Differential Forms, and Variational Principles written by David Lovelock and published by Courier Corporation. This book was released on 2012-04-20 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Incisive, self-contained account of tensor analysis and the calculus of exterior differential forms, interaction between the concept of invariance and the calculus of variations. Emphasis is on analytical techniques. Includes problems.
Book Synopsis Seminar on Differential Geometry by : Shing-Tung Yau
Download or read book Seminar on Differential Geometry written by Shing-Tung Yau and published by . This book was released on 1982 with total page 706 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of papers constitutes a wide-ranging survey of recent developments in differential geometry and its interactions with other fields, especially partial differential equations and mathematical physics. This area of mathematics was the subject of a special program at the Institute for Advanced Study in Princeton during the academic year 1979-1980; the papers in this volume were contributed by the speakers in the sequence of seminars organized by Shing-Tung Yau for this program. Both survey articles and articles presenting new results are included. The articles on differential geometry and partial differential equations include a general survey article by the editor on the relationship of the two fields and more specialized articles on topics including harmonic mappings, isoperimetric and Poincaré inequalities, metrics with specified curvature properties, the Monge-Arnpere equation, L2 harmonic forms and cohomology, manifolds of positive curvature, isometric embedding, and Kraumlhler manifolds and metrics. The articles on differential geometry and mathematical physics cover such topics as renormalization, instantons, gauge fields and the Yang-Mills equation, nonlinear evolution equations, incompleteness of space-times, black holes, and quantum gravity. A feature of special interest is the inclusion of a list of more than one hundred unsolved research problems compiled by the editor with comments and bibliographical information.
Book Synopsis Total Curvature in Riemannian Geometry by : Thomas Willmore
Download or read book Total Curvature in Riemannian Geometry written by Thomas Willmore and published by . This book was released on 1982 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: Good,No Highlights,No Markup,all pages are intact, Slight Shelfwear,may have the corners slightly dented, may have slight color changes/slightly damaged spine.
Book Synopsis Some Nonlinear Problems in Riemannian Geometry by : Thierry Aubin
Download or read book Some Nonlinear Problems in Riemannian Geometry written by Thierry Aubin and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with such important subjects as variational methods, the continuity method, parabolic equations on fiber bundles, ideas concerning points of concentration, blowing-up technique, geometric and topological methods. It explores important geometric problems that are of interest to many mathematicians and scientists but have only recently been partially solved.
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.
Book Synopsis Differential Geometry - Proceedings Of The Symposium In Honor Of Prof Su Buchin On His 90th Birthday by : Chaohao Gu
Download or read book Differential Geometry - Proceedings Of The Symposium In Honor Of Prof Su Buchin On His 90th Birthday written by Chaohao Gu and published by World Scientific. This book was released on 1993-02-04 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main topics covered in this volume are global differential geometry and its application to physics. Recent results in many areas are presented, including Yang-Mills fields, harmonic maps, geometry of submanifolds, spectral geometry, complex geometry and soliton aspects of nonlinear PDE arising from geometry and mathematical physics.
Book Synopsis Riemannian Manifolds by : John M. Lee
Download or read book Riemannian Manifolds written by John M. Lee and published by Springer Science & Business Media. This book was released on 2006-04-06 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text focuses on developing an intimate acquaintance with the geometric meaning of curvature and thereby introduces and demonstrates all the main technical tools needed for a more advanced course on Riemannian manifolds. It covers proving the four most fundamental theorems relating curvature and topology: the Gauss-Bonnet Theorem, the Cartan-Hadamard Theorem, Bonnet’s Theorem, and a special case of the Cartan-Ambrose-Hicks Theorem.
Book Synopsis Harmonic Maps: Selected Papers By James Eells And Collaborators by : James Eells
Download or read book Harmonic Maps: Selected Papers By James Eells And Collaborators written by James Eells and published by World Scientific. This book was released on 1992-08-21 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: These original research papers, written during a period of over a quarter of a century, have two main objectives. The first is to lay the foundations of the theory of harmonic maps between Riemannian Manifolds, and the second to establish various existence and regularity theorems as well as the explicit constructions of such maps.
Book Synopsis A Mathematical Approach to Research Problems of Science and Technology by : Ryuei Nishii
Download or read book A Mathematical Approach to Research Problems of Science and Technology written by Ryuei Nishii and published by Springer. This book was released on 2014-07-14 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with one of the most novel advances in mathematical modeling for applied scientific technology, including computer graphics, public-key encryption, data visualization, statistical data analysis, symbolic calculation, encryption, error correcting codes, and risk management. It also shows that mathematics can be used to solve problems from nature, e.g., slime mold algorithms. One of the unique features of this book is that it shows readers how to use pure and applied mathematics, especially those mathematical theory/techniques developed in the twentieth century, and developing now, to solve applied problems in several fields of industry. Each chapter includes clues on how to use "mathematics" to solve concrete problems faced in industry as well as practical applications. The target audience is not limited to researchers working in applied mathematics and includes those in engineering, material sciences, economics, and life sciences.
Book Synopsis Calculus of Variations II by : Mariano Giaquinta
Download or read book Calculus of Variations II written by Mariano Giaquinta and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book by two of the foremost researchers and writers in the field is the first part of a treatise that covers the subject in breadth and depth, paying special attention to the historical origins of the theory. Both individually and collectively these volumes have already become standard references.
Book Synopsis Calculus of Variations I by : Mariano Giaquinta
Download or read book Calculus of Variations I written by Mariano Giaquinta and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-volume treatise is a standard reference in the field. It pays special attention to the historical aspects and the origins partly in applied problems—such as those of geometric optics—of parts of the theory. It contains an introduction to each chapter, section, and subsection and an overview of the relevant literature in the footnotes and bibliography. It also includes an index of the examples used throughout the book.