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Download or read book Properness Results for Constant Mean Curvature Surfaces written by and published by . This book was released on 2004 with total page 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 : Lawrence E. Schmidt
Publisher :
ISBN 13 :
Total Pages : 24 pages
Book Rating : 4.:/5 (214 download)
Download or read book Surfaces with Constant Mean Curvature written by Lawrence E. Schmidt and published by . This book was released on 19?? with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Karsten Grosse-Brauckmann
Publisher :
ISBN 13 :
Total Pages : 66 pages
Book Rating : 4.:/5 (17 download)
Download or read book Complete embedded constant mean curvature surfaces written by Karsten Grosse-Brauckmann and published by . This book was released on 1998 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Luc Vrancken
Publisher : Lulu.com
ISBN 13 : 1847990169
Total Pages : 266 pages
Book Rating : 4.8/5 (479 download)
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).
Author : Robert Andrzej Bartnik
Publisher :
ISBN 13 :
Total Pages : 12 pages
Book Rating : 4.:/5 (22 download)
Download or read book Remarks on Constant Mean Curvature Surfaces written by Robert Andrzej Bartnik and published by . This book was released on 1986 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Karsten Grosse-Brauckmann
Publisher :
ISBN 13 :
Total Pages : 8 pages
Book Rating : 4.:/5 (756 download)
Download or read book Stable constant mean curvature surfaces minimize area written by Karsten Grosse-Brauckmann and published by . This book was released on 1995 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jesus A Alvarez Lopez
Publisher : World Scientific
ISBN 13 : 9814468460
Total Pages : 343 pages
Book Rating : 4.8/5 (144 download)
Download or read book Differential Geometry - Proceedings Of The Viii International Colloquium written by Jesus A Alvarez Lopez and published by World Scientific. This book was released on 2009-04-27 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains research and expository papers on recent advances in foliations and Riemannian geometry. Some of the topics covered in this volume include: topology, geometry, dynamics and analysis of foliations, curvature, submanifold theory, Lie groups and harmonic maps.Among the contributions, readers may find an extensive survey on characteristic classes of Riemannian foliations offering also new results, an article showing the uniform simplicity of certain diffeomorphism groups, an exposition of convergences of contact structures to foliations from the point of view of Thurston's and Thurston-Bennequin's inequalities, a discussion about Fatou-Julia decompositions for foliations and a description of singular Riemannian foliations on spaces without conjugate points.Papers on submanifold theory focus on the existence of graphs with prescribed mean curvature and mean curvature flow for spacelike graphs, isometric and conformal deformations and detailed surveys on totally geodesic submanifolds in symmetric spaces, cohomogeneity one actions on hyperbolic spaces and rigidity of geodesic spheres in space forms. Geometric realizability of curvature tensors and curvature operators are also treated in this volume with special attention to the affine and the pseudo-Riemannian settings. Also, some contributions on biharmonic maps and submanifolds enrich the scope of this volume in providing an overview of different topics of current interest in differential geometry.
Author : Joseph Albert Wolf
Publisher :
ISBN 13 :
Total Pages : 24 pages
Book Rating : 4.:/5 (279 download)
Download or read book Surfaces of Constant Mean Curvature written by Joseph Albert Wolf and published by . This book was released on 196? with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Zuhal Kucukarslan Yuzbasi
Publisher : Infinite Study
ISBN 13 :
Total Pages : 8 pages
Book Rating : 4./5 ( download)
Download or read book On Parametric Surfaces with Constant Mean Curvature Along Given Smarandache Curves in Lie Group written by Zuhal Kucukarslan Yuzbasi and published by Infinite Study. This book was released on 2022-01-01 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper finds sufficient conditions to determine a surface whose mean curvature along a given Smarandache curve is constant in a three-dimensional Lie group. This is accomplished by using the Frenet frames of the specified curve to express surfaces that span the 𝑇𝑁, 𝑁𝐵, and 𝑇𝐵 Smarandache curves parametrically. In terms of the curvatures of given Smarandache curves, marching scale functions, and their partial derivatives, the mean curvatures of these surfaces along the given 𝑇𝑁, 𝑁𝐵, and 𝑇𝐵 Smarandache curves are determined. Sufficient conditions are found to maintain the provided mean curvatures of the resulting surfaces at a constant value. Finally, some examples are provided.
Author : Yong He
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (774 download)
Download or read book Constant Mean Curvature Surfaces Bifurcating from Nodoids written by Yong He and published by . This book was released on 2012 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 : Eduardo Mota
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (129 download)
Download or read book Constant Mean Curvature Surfaces and Heun's Differential Equations written by Eduardo Mota and published by . This book was released on 2019 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jan-Olof Jörgen Berglund
Publisher :
ISBN 13 :
Total Pages : 126 pages
Book Rating : 4.:/5 (372 download)
Download or read book Minimal and Constant Mean Curvature Surfaces in Various Three-manifolds written by Jan-Olof Jörgen Berglund and published by . This book was released on 1997 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Bang-yen Chen
Publisher : World Scientific Publishing Company
ISBN 13 : 9814616710
Total Pages : 486 pages
Book Rating : 4.8/5 (146 download)
Download or read book Total Mean Curvature And Submanifolds Of Finite Type (2nd Edition) written by Bang-yen Chen and published by World Scientific Publishing Company. This book was released on 2014-10-29 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the last four decades, there were numerous important developments on total mean curvature and the theory of finite type submanifolds. This unique and expanded second edition comprises a comprehensive account of the latest updates and new results that cover total mean curvature and submanifolds of finite type. The longstanding biharmonic conjecture of the author's and the generalized biharmonic conjectures are also presented in details. This book will be of use to graduate students and researchers in the field of geometry.
Author : Karsten Grosse-Brauckmann
Publisher :
ISBN 13 :
Total Pages : 19 pages
Book Rating : 4.:/5 (757 download)
Download or read book Constant mean curvature surfaces derived from Delaunay's and Wente's examples written by Karsten Grosse-Brauckmann and published by . This book was released on 1996 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Nahid Sultana
Publisher : LAP Lambert Academic Publishing
ISBN 13 : 9783848481538
Total Pages : 112 pages
Book Rating : 4.4/5 (815 download)
Download or read book Constant Mean Curvature Surfaces of Revolution and Their Stability written by Nahid Sultana and published by LAP Lambert Academic Publishing. This book was released on 2014-02 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of Constant Mean Curvature (CMC) surfaces had its beginning in the nineteenth century with the works of Riemann, Weierstrass and Enneper. Recently it has enjoyed a surge of growth due to the advent of computer graphics. This field has applications in many applied fields such as applied physics, polymer science, architecture, and computer graphics. The method for the construction of CMC surfaces was developed by J. Dorfmeister, F. Pedit, and H. Wu; it is commonly called the DPW method. The DPW method is a Weierstrass type representation for CMC surfaces, using techniques of integrable systems. It gives an algorithm to compute all CMC surfaces. This book includes: explicit conformal parametrizations of CMC surfaces of revolution, in each of the three space forms Euclidean 3-space, spherical 3-space and hyperbolic 3-space by using the DPW method; the lower bounds for the Morse index and nullity of CMC tori of revolution in the 3-sphere; the spectra of Jacobi operators for CMC tori of revolution in the 3-sphere; stability properties of CMC surfaces of revolution in general simply-connected spherically symmetric 3-spaces, and in the particular case of Schwarzschild space.
