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Complete Constant Mean Curvature Surfaces In Hyperbolic Space
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Book Synopsis Complete Constant Mean Curvature Surfaces in Hyperbolic Space by : Yoshihiro Tonegawa
Download or read book Complete Constant Mean Curvature Surfaces in Hyperbolic Space written by Yoshihiro Tonegawa and published by . This book was released on 1993 with total page 188 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 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 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 Surfaces of Constant Mean Curvature One in Hyperbolic Space by : Gary Lynn Kerbaugh
Download or read book Surfaces of Constant Mean Curvature One in Hyperbolic Space written by Gary Lynn Kerbaugh and published by . This book was released on 1985 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Constant mean curvature H 1 surfaces in hyperbolic space by :
Download or read book Constant mean curvature H 1 surfaces in hyperbolic space written by and published by . This book was released on 1992 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis On Surfaces of Constant Mean Curvature in Hyperbolic Space by : Jonas de M. Gomes
Download or read book On Surfaces of Constant Mean Curvature in Hyperbolic Space written by Jonas de M. Gomes and published by . This book was released on 1985 with total page 51 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Constant Mean Curvature Surface, Harmonic Map and Universal Teichmüller Space by : Tom Yau-Heng Wan
Download or read book Constant Mean Curvature Surface, Harmonic Map and Universal Teichmüller Space written by Tom Yau-Heng Wan and published by . This book was released on 1991 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis On surfaces of constant mean curvature in hyperbolic space by : Jonas de Miranda Gomes
Download or read book On surfaces of constant mean curvature in hyperbolic space written by Jonas de Miranda Gomes and published by . This book was released on 1985 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Spherical Surfaces with Constant Mean Curvature in Hyperbolic Space by : Jonas de Miranda
Download or read book Spherical Surfaces with Constant Mean Curvature in Hyperbolic Space written by Jonas de Miranda and published by . This book was released on 1985 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Index of Constant Mean Curvature Surfaces in Hyperbolic 3-spaces by : Pierre H. Bérard
Download or read book The Index of Constant Mean Curvature Surfaces in Hyperbolic 3-spaces written by Pierre H. Bérard and published by . This book was released on 1994 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :University of Minnesota. Institute for Mathematics and Its Applications Publisher : ISBN 13 : Total Pages : pages Book Rating :4.:/5 (123 download)
Book Synopsis Symmetry of Constant Mean Curvature Hypersurfaces in Hyperbolic Space by : University of Minnesota. Institute for Mathematics and Its Applications
Download or read book Symmetry of Constant Mean Curvature Hypersurfaces in Hyperbolic Space written by University of Minnesota. Institute for Mathematics and Its Applications and published by . This book was released on 1984 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Hypersurfaces with Constant Mean Curvature and Bounded Scalar Curvature in Euclidean and Hyperbolic Space by : Ronaldo Freire
Download or read book Hypersurfaces with Constant Mean Curvature and Bounded Scalar Curvature in Euclidean and Hyperbolic Space written by Ronaldo Freire and published by . This book was released on 2000 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Spherical surfaces with constant mean curvature in hyperbolic space by : Jonas de Miranda Gomes
Download or read book Spherical surfaces with constant mean curvature in hyperbolic space written by Jonas de Miranda Gomes and published by . This book was released on 1985 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Global Theory of Minimal Surfaces in Flat Spaces by : W.H. III Meeks
Download or read book The Global Theory of Minimal Surfaces in Flat Spaces written by W.H. III Meeks and published by Springer. This book was released on 2004-10-11 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the second half of the twentieth century the global theory of minimal surface in flat space had an unexpected and rapid blossoming. Some of the classical problems were solved and new classes of minimal surfaces found. Minimal surfaces are now studied from several different viewpoints using methods and techniques from analysis (real and complex), topology and geometry. In this lecture course, Meeks, Ros and Rosenberg, three of the main architects of the modern edifice, present some of the more recent methods and developments of the theory. The topics include moduli, asymptotic geometry and surfaces of constant mean curvature in the hyperbolic space.
Book Synopsis An Analogue of the UP-iteration for Constant Mean Curvature One Surfaces in Hyperbolic 3-space by : Catherine MacCune
Download or read book An Analogue of the UP-iteration for Constant Mean Curvature One Surfaces in Hyperbolic 3-space written by Catherine MacCune and published by . This book was released on 2000 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Constant Mean Curvature Surfaces of Revolution and Their Stability by : Nahid Sultana
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.