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Author : Ioannis Markos Roussos
Publisher :
ISBN 13 :
Total Pages : 328 pages
Book Rating : 4.:/5 (319 download)
Download or read book Mean-curvature-preserving Isometries of Surfaces in Ordinary Space written by Ioannis Markos Roussos and published by . This book was released on 1986 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Katsuei Kenmotsu
Publisher : American Mathematical Soc.
ISBN 13 : 9780821834794
Total Pages : 156 pages
Book Rating : 4.8/5 (347 download)
Download or read book Surfaces with Constant Mean Curvature written by Katsuei Kenmotsu and published by American Mathematical Soc.. This book was released on 2003 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mean curvature of a surface is an extrinsic parameter measuring how the surface is curved in the three-dimensional space. A surface whose mean curvature is zero at each point is a minimal surface, and it is known that such surfaces are models for soap film. There is a rich and well-known theory of minimal surfaces. A surface whose mean curvature is constant but nonzero is obtained when we try to minimize the area of a closed surface without changing the volume it encloses. An easy example of a surface of constant mean curvature is the sphere. A nontrivial example is provided by the constant curvature torus, whose discovery in 1984 gave a powerful incentive for studying such surfaces. Later, many examples of constant mean curvature surfaces were discovered using various methods of analysis, differential geometry, and differential equations. It is now becoming clear that there is a rich theory of surfaces of constant mean curvature. In this book, the author presents numerous examples of constant mean curvature surfaces and techniques for studying them. Many finely rendered figures illustrate the results and allow the reader to visualize and better understand these beautiful objects. The book is suitable for advanced undergraduates, graduate students and research mathematicians interested in analysis and differential geometry.
Author : Bennett Palmer
Publisher :
ISBN 13 :
Total Pages : 156 pages
Book Rating : 4.F/5 ( download)
Download or read book Surfaces of Constant Mean Curvature in Space Forms written by Bennett Palmer and published by . This book was released on 1986 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Chaohao Gu
Publisher : World Scientific
ISBN 13 : 9814554405
Total Pages : 349 pages
Book Rating : 4.8/5 (145 download)
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.
Author : Gary R. Jensen
Publisher : Springer
ISBN 13 : 3319270761
Total Pages : 576 pages
Book Rating : 4.3/5 (192 download)
Download or read book Surfaces in Classical Geometries written by Gary R. Jensen and published by Springer. This book was released on 2016-04-20 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed for intermediate graduate studies, this text will broaden students' core knowledge of differential geometry providing foundational material to relevant topics in classical differential geometry. The method of moving frames, a natural means for discovering and proving important results, provides the basis of treatment for topics discussed. Its application in many areas helps to connect the various geometries and to uncover many deep relationships, such as the Lawson correspondence. The nearly 300 problems and exercises range from simple applications to open problems. Exercises are embedded in the text as essential parts of the exposition. Problems are collected at the end of each chapter; solutions to select problems are given at the end of the book. Mathematica®, MatlabTM, and Xfig are used to illustrate selected concepts and results. The careful selection of results serves to show the reader how to prove the most important theorems in the subject, which may become the foundation of future progress. The book pursues significant results beyond the standard topics of an introductory differential geometry course. A sample of these results includes the Willmore functional, the classification of cyclides of Dupin, the Bonnet problem, constant mean curvature immersions, isothermic immersions, and the duality between minimal surfaces in Euclidean space and constant mean curvature surfaces in hyperbolic space. The book concludes with Lie sphere geometry and its spectacular result that all cyclides of Dupin are Lie sphere equivalent. The exposition is restricted to curves and surfaces in order to emphasize the geometric interpretation of invariants and other constructions. Working in low dimensions helps students develop a strong geometric intuition. Aspiring geometers will acquire a working knowledge of curves and surfaces in classical geometries. Students will learn the invariants of conformal geometry and how these relate to the invariants of Euclidean, spherical, and hyperbolic geometry. They will learn the fundamentals of Lie sphere geometry, which require the notion of Legendre immersions of a contact structure. Prerequisites include a completed one semester standard course on manifold theory.
Author : Boju Jiang
Publisher : Springer
ISBN 13 : 354046137X
Total Pages : 377 pages
Book Rating : 4.5/5 (44 download)
Download or read book Differential Geometry and Topology written by Boju Jiang and published by Springer. This book was released on 2006-11-14 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ōsaka Daigaku. Kyōyōbu
Publisher :
ISBN 13 :
Total Pages : 304 pages
Book Rating : 4.3/5 (91 download)
Download or read book Science Reports written by Ōsaka Daigaku. Kyōyōbu and published by . This book was released on 1989 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : William Augustus Pierce
Publisher :
ISBN 13 :
Total Pages : 98 pages
Book Rating : 4.:/5 (228 download)
Download or read book Ordinary Surfaces of Constant Curvature and Their Imbedding in Three-space written by William Augustus Pierce and published by . This book was released on 1948 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt: Typewritten minor thesis in mathematics.
Download or read book Elementary Differential Geometry written by and published by . This book was released on 2000 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Paul Concus
Publisher : International Press of Boston
ISBN 13 :
Total Pages : 320 pages
Book Rating : 4.3/5 (91 download)
Download or read book Advances in Geometric Analysis and Continuum Mechanics written by Paul Concus and published by International Press of Boston. This book was released on 1994-12-31 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume documents a conference celebrating Robert Finn's 70th birthday. The introduction discusses Finn's career, and highlights his contributions to the field of mathematics and its applications. The following papers cover advances in geometric analysis and continuum mechanics.
Author : Alexander I. Bobenko TU Berlin
Publisher : Springer
ISBN 13 : 3540444521
Total Pages : 125 pages
Book Rating : 4.5/5 (44 download)
Download or read book Painleve Equations in the Differential Geometry of Surfaces written by Alexander I. Bobenko TU Berlin and published by Springer. This book was released on 2003-07-01 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together two different branches of mathematics: the theory of Painlev and the theory of surfaces. Self-contained introductions to both these fields are presented. It is shown how some classical problems in surface theory can be solved using the modern theory of Painlev equations. In particular, an essential part of the book is devoted to Bonnet surfaces, i.e. to surfaces possessing families of isometries preserving the mean curvature function. A global classification of Bonnet surfaces is given using both ingredients of the theory of Painlev equations: the theory of isomonodromic deformation and the Painlev property. The book is illustrated by plots of surfaces. It is intended to be used by mathematicians and graduate students interested in differential geometry and Painlev equations. Researchers working in one of these areas can become familiar with another relevant branch of mathematics.
Author :
Publisher :
ISBN 13 :
Total Pages : 776 pages
Book Rating : 4.F/5 ( download)
Download or read book Dissertation Abstracts International written by and published by . This book was released on 1995 with total page 776 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Manuel Ritoré
Publisher : Springer Nature
ISBN 13 : 3031379012
Total Pages : 470 pages
Book Rating : 4.0/5 (313 download)
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.
Author : Efstathios Vassiliou
Publisher :
ISBN 13 :
Total Pages : 228 pages
Book Rating : 4.3/5 (91 download)
Download or read book Proceedings of the 3rd Panhellenic Congress of Geometry written by Efstathios Vassiliou and published by . This book was released on 1998 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Maria Athanassenas
Publisher :
ISBN 13 :
Total Pages : 13 pages
Book Rating : 4.:/5 (221 download)
Download or read book Volume-preserving Mean Curvature Flow of Rotationally Symmetric Surfaces written by Maria Athanassenas and published by . This book was released on 1994 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Eamon Barrett
Publisher :
ISBN 13 :
Total Pages : 230 pages
Book Rating : 4.F/5 ( download)
Download or read book Contributions to the Theory of Surfaces of Constant Mean Curvature written by Eamon Barrett and published by . This book was released on 1966 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Wayne Rossman
Publisher :
ISBN 13 :
Total Pages : 190 pages
Book Rating : 4.:/5 (272 download)
Download or read book Constant Mean Curvature Surfaces in Euclidean and Hyperbolic 3-space written by Wayne Rossman and published by . This book was released on 1992 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt:
