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Constant Mean Curvature Surfaces Bifurcating From Nodoids
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Book Synopsis Constant Mean Curvature Surfaces Bifurcating from Nodoids by : Yong He
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:
Book Synopsis Surfaces with Constant Mean Curvature by : Katsuei Kenmotsu
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.
Book Synopsis Constant Mean Curvature Surfaces with Boundary by : Rafael López
Download or read book Constant Mean Curvature Surfaces with Boundary written by Rafael López and published by Springer Science & Business Media. This book was released on 2013-08-31 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of surfaces with constant mean curvature (CMC) is one of the main topics in classical differential geometry. Moreover, CMC surfaces are important mathematical models for the physics of interfaces in the absence of gravity, where they separate two different media or for capillary phenomena. Further, as most techniques used in the theory of CMC surfaces not only involve geometric methods but also PDE and complex analysis, the theory is also of great interest for many other mathematical fields. While minimal surfaces and CMC surfaces in general have already been treated in the literature, the present work is the first to present a comprehensive study of “compact surfaces with boundaries,” narrowing its focus to a geometric view. Basic issues include the discussion whether the symmetries of the curve inherit to the surface; the possible values of the mean curvature, area and volume; stability; the circular boundary case and the existence of the Plateau problem in the non-parametric case. The exposition provides an outlook on recent research but also a set of techniques that allows the results to be expanded to other ambient spaces. Throughout the text, numerous illustrations clarify the results and their proofs. The book is intended for graduate students and researchers in the field of differential geometry and especially theory of surfaces, including geometric analysis and geometric PDEs. It guides readers up to the state-of-the-art of the theory and introduces them to interesting open problems.
Book Synopsis Surfaces of Constant Mean Curvature by : Joseph Albert Wolf
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:
Book Synopsis Surfaces of Constant Mean Curvature in Space Forms by : Bennett Palmer
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:
Book Synopsis Properness Results for Constant Mean Curvature Surfaces by :
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:
Book Synopsis Stable constant mean curvature surfaces minimize area by : Karsten Grosse-Brauckmann
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:
Book Synopsis Constant mean curvature surfaces derived from Delaunay's and Wente's examples by : Karsten Grosse-Brauckmann
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:
Book Synopsis Surfaces with Constant Mean Curvature by : Lawrence E. Schmidt
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:
Book Synopsis The Rigidity of Embedded Constant Mean Curvature Surfaces by :
Download or read book The Rigidity of Embedded 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:
Book Synopsis A New Family of Symmetric Constant Mean Curvature Surfaces by : Pavel Groisman
Download or read book A New Family of Symmetric Constant Mean Curvature Surfaces written by Pavel Groisman and published by . This book was released on 2004 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Remarks on Constant Mean Curvature Surfaces by : Robert Andrzej Bartnik
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:
Book Synopsis Discrete Constant Mean Curvature Surfaces and Their Index by : Konrad Polthier
Download or read book Discrete Constant Mean Curvature Surfaces and Their Index written by Konrad Polthier and published by . This book was released on 2000 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Complete embedded constant mean curvature surfaces by : Karsten Grosse-Brauckmann
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:
Book Synopsis Constant Mean Curvature Surfaces in Euclidean and Hyperbolic 3-space by : Wayne Rossman
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:
Book Synopsis Topology and Geometry: Commemorating SISTAG by : A. Jon Berrick
Download or read book Topology and Geometry: Commemorating SISTAG written by A. Jon Berrick and published by American Mathematical Soc.. This book was released on 2002 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents 19 refereed articles written by participants in the Singapore International Symposium in Topology and Geometry (SISTAG), held July 2-6, 2001, at the National University of Singapore. Rather than being a simple snapshot of the meeting in the form of a proceedings, it serves as a commemorative volume consisting of papers selected to show the diversity and depth of the mathematics presented at SISTAG. The book contains articles on low-dimensional topology, algebraic, differential and symplectic geometry, and algebraic topology. While papers reflect the focus of the conference, many documents written after SISTAG and included in this volume represent the most up-to-date thinking in the fields of topology and geometry. While representation from Pacific Rim countries is strong, the list of contributors is international in scope and includes many recognized experts. This volume is of interest to graduate students and mathematicians working in the fields of algebraic, differential and symplectic geometry, algebraic, geometric and low-dimensional topology, and mathematical physics.
Book Synopsis Construction of Closed Constant Mean Curvature Surfaces by : David Williams
Download or read book Construction of Closed Constant Mean Curvature Surfaces written by David Williams and published by . This book was released on 2000 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: