Hypersurfaces With Constant Mean Curvature And Prescribed Area
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Author | : Frank Duzaar |
Publisher | : |
Total Pages | : 13 |
Release | : 1995 |
Genre | : Calculus of variations |
ISBN | : |
Download Hypersurfaces with Constant Mean Curvature and Prescribed Area Book in PDF, Epub and Kindle
Author | : Rafael López |
Publisher | : Springer Science & Business Media |
Total Pages | : 296 |
Release | : 2013-08-31 |
Genre | : Mathematics |
ISBN | : 3642396267 |
Download Constant Mean Curvature Surfaces with Boundary Book in PDF, Epub and Kindle
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.
Author | : João Lucas Marques Barbosa |
Publisher | : |
Total Pages | : 26 |
Release | : 1983 |
Genre | : |
ISBN | : |
Download Stability of Hypersurfaces with Constant Mean Curvature Book in PDF, Epub and Kindle
Author | : F. Bethuel |
Publisher | : Springer |
Total Pages | : 299 |
Release | : 2006-11-14 |
Genre | : Mathematics |
ISBN | : 3540488138 |
Download Calculus of Variations and Geometric Evolution Problems Book in PDF, Epub and Kindle
The international summer school on Calculus of Variations and Geometric Evolution Problems was held at Cetraro, Italy, 1996. The contributions to this volume reflect quite closely the lectures given at Cetraro which have provided an image of a fairly broad field in analysis where in recent years we have seen many important contributions. Among the topics treated in the courses were variational methods for Ginzburg-Landau equations, variational models for microstructure and phase transitions, a variational treatment of the Plateau problem for surfaces of prescribed mean curvature in Riemannian manifolds - both from the classical point of view and in the setting of geometric measure theory.
Author | : Thomas Hasanis |
Publisher | : |
Total Pages | : 80 |
Release | : 1991 |
Genre | : |
ISBN | : |
Download Hypersurfaces with Constant Scalar Curvature and Constant Mean Curvature Book in PDF, Epub and Kindle
Author | : Thomas David Hendricks |
Publisher | : |
Total Pages | : 128 |
Release | : 1994 |
Genre | : |
ISBN | : |
Download Existence of Hypersurfaces of Prescribed Mean Curvature Book in PDF, Epub and Kindle
Author | : A. J. Goddard |
Publisher | : |
Total Pages | : 78 |
Release | : 1975 |
Genre | : Hypersurfaces |
ISBN | : |
Download Spacelike Hypersurfaces of Constant Mean Curvature Book in PDF, Epub and Kindle
Author | : P. Bérard |
Publisher | : |
Total Pages | : 19 |
Release | : 1996 |
Genre | : |
ISBN | : |
Download Complete Hypersurfaces with Constant Mean Curvature and Finite Total Curvature Book in PDF, Epub and Kindle
Author | : Walter Iaan Seaman |
Publisher | : |
Total Pages | : 178 |
Release | : 1982 |
Genre | : Hypersurfaces |
ISBN | : |
Download Hypersurfaces of Constant Mean Curvature in Euclidean Space and Groups of Heisenberg Type Book in PDF, Epub and Kindle
Author | : Andrejs Treibergs |
Publisher | : |
Total Pages | : 182 |
Release | : 1980 |
Genre | : Generalized spaces |
ISBN | : |
Download Entire Spacelike Hypersurfaces of Constant Mean Curvature in Minkowski Space Book in PDF, Epub and Kindle