Stability Of Hypersurfaces With Constant Mean Curvature
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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 | : J. Lucas Barbosa |
Publisher | : |
Total Pages | : 33 |
Release | : 1986 |
Genre | : |
ISBN | : |
Download Stability of hypersurfaces of constant mean curvature in Riemannian manifolds Book in PDF, Epub and Kindle
Author | : J. L. Barbosa |
Publisher | : |
Total Pages | : 26 |
Release | : 1983 |
Genre | : |
ISBN | : |
Download Stability of hypersurfaces with constant mean curvature Book in PDF, Epub and Kindle
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 | : Manfredo P. do Carmo |
Publisher | : Springer Science & Business Media |
Total Pages | : 492 |
Release | : 2012-04-02 |
Genre | : Mathematics |
ISBN | : 3642255884 |
Download Manfredo P. do Carmo – Selected Papers Book in PDF, Epub and Kindle
This volume of selected academic papers demonstrates the significance of the contribution to mathematics made by Manfredo P. do Carmo. Twice a Guggenheim Fellow and the winner of many prestigious national and international awards, the professor at the institute of Pure and Applied Mathematics in Rio de Janeiro is well known as the author of influential textbooks such as Differential Geometry of Curves and Surfaces. The area of differential geometry is the main focus of this selection, though it also contains do Carmo's own commentaries on his life as a scientist as well as assessment of the impact of his researches and a complete list of his publications. Aspects covered in the featured papers include relations between curvature and topology, convexity and rigidity, minimal surfaces, and conformal immersions, among others. Offering more than just a retrospective focus, the volume deals with subjects of current interest to researchers, including a paper co-authored with Frank Warner on the convexity of hypersurfaces in space forms. It also presents the basic stability results for minimal surfaces in the Euclidean space obtained by the author and his collaborators. Edited by do Carmo's first student, now a celebrated academic in her own right, this collection pays tribute to one of the most distinguished mathematicians.
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 | : Ronaldo Freire |
Publisher | : |
Total Pages | : 52 |
Release | : 2000 |
Genre | : |
ISBN | : |
Download Hypersurfaces with Constant Mean Curvature and Bounded Scalar Curvature in Euclidean and Hyperbolic Space Book in PDF, Epub and Kindle
Author | : Manfredo Perdigão do Carmo |
Publisher | : |
Total Pages | : 17 |
Release | : 1988 |
Genre | : |
ISBN | : |
Download Hypersurfaces of Constant Mean Curvature Book in PDF, Epub and Kindle
Author | : Daniel J. Weser |
Publisher | : |
Total Pages | : 0 |
Release | : 2023 |
Genre | : |
ISBN | : |
Download Contributions to the Theory of Almost-constant Mean Curvature Hypersurfaces Book in PDF, Epub and Kindle
We study the qualitative and quantitative properties of sets with boundaries of almost-constant mean curvature. For open subsets of Rn+1, we will prove L2- quantitative stability estimates in the presence of bubbling. In the case of droplets adhering to a substrate, we will classify their shapes in the small mass regime and prove a compactness theorem for droplets with boundaries of almost-constant mean curvature and almost-constant angle of contact with the substrate
Author | : Manfredo P. do Carmo |
Publisher | : |
Total Pages | : |
Release | : 1997 |
Genre | : |
ISBN | : |
Download Morse Index and Stability of Complete and Noncompact Hypersurfaces with Constant Mean Curvature Book in PDF, Epub and Kindle