Download or read book Isoperimetric Inequalities in the Theory of Surfaces of Bounded External Curvature written by Iurii D. Burago and published by Springer. This book was released on 1970 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Isoperimetric inequalities in the theory of surfaces of bounded external curvature written by Jurij Dmitrijevic Burago and published by . This book was released on 1970 with total page 99 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Isoperimetric inequalities in the theory of surfaces of bounded external curvature written by and published by . This book was released on 1970 with total page 99 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Isoperimetric Inequalities in the Theory of Surfaces of Bounded External Curvature written by Matematicheskiĭ institut im. V.A. Steklova. Leningradskoe otdelenie and published by . This book was released on 1970 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Isoperimetric Inequalities in the Theory of Surfaces of Bounded External Curvature by Yu D Burago written by IUriǐ Dmitrievich Burago and published by . This book was released on 1970 with total page 99 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Isoperimetric Inequalities in Riemannian Manifolds written by Manuel Ritoré and published by Springer Nature. This book was released on 2023-10-06 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work gives a coherent introduction to isoperimetric inequalities in Riemannian manifolds, featuring many of the results obtained during the last 25 years and discussing different techniques in the area. Written in a clear and appealing style, the book includes sufficient introductory material, making it also accessible to graduate students. It will be of interest to researchers working on geometric inequalities either from a geometric or analytic point of view, but also to those interested in applying the described techniques to their field.
Download or read book Mean Curvature Flow and Isoperimetric Inequalities written by Manuel Ritoré and published by Springer Science & Business Media. This book was released on 2010-01-01 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometric flows have many applications in physics and geometry. The mean curvature flow occurs in the description of the interface evolution in certain physical models. This is related to the property that such a flow is the gradient flow of the area functional and therefore appears naturally in problems where a surface energy is minimized. The mean curvature flow also has many geometric applications, in analogy with the Ricci flow of metrics on abstract riemannian manifolds. One can use this flow as a tool to obtain classification results for surfaces satisfying certain curvature conditions, as well as to construct minimal surfaces. Geometric flows, obtained from solutions of geometric parabolic equations, can be considered as an alternative tool to prove isoperimetric inequalities. On the other hand, isoperimetric inequalities can help in treating several aspects of convergence of these flows. Isoperimetric inequalities have many applications in other fields of geometry, like hyperbolic manifolds.
Download or read book Isoperimetric Inequalities in Mathematical Physics AM 27 Volume 27 written by G. Polya and published by Princeton University Press. This book was released on 2016-03-02 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: The description for this book, Isoperimetric Inequalities in Mathematical Physics. (AM-27), Volume 27, will be forthcoming.
Download or read book Isometric Inequalities in the Theory of Surfaces of Bounded External Curvature written by Yu. D. Burago and published by . This book was released on 1970 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Isoperimetric Inequality and Area Growth of Surfaces with Bounded Mean Curvature written by Dechang Chen and published by . This book was released on 2014 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this thesis, we give a lower bound on the areas of small geodesic balls in an immersed hypersurface M contained in a Riemannian manifold N. This lower bound depends only on an upper bound for the absolute mean curvature function of M, an upper bound of the absolute sectional curvature of N and a lower bound for the injectivity radius of N. As a consequence, we prove that if M is a noncompact complete surface of bounded absolute mean curvature in Riemannian manifold N with positive injectivity radius and bounded absolute sectional curvature, then the area of geodesic balls of M must grow at least linearly in terms of their radius. In particular, this result implies the classical result of Yau that a complete minimal hypersurface in Rn must have infinite area. We also attain partial results on the conjecture: If M is a compact immersed surface in hyperbolic 3-space H3, and the absolute mean curvature function of M is bounded from above by 1, then Area(M)
Download or read book Geometric Inequalities written by Yurii D. Burago and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: A 1988 classic, covering Two-dimensional Surfaces; Domains on the Plane and on Surfaces; Brunn-Minkowski Inequality and Classical Isoperimetric Inequality; Isoperimetric Inequalities for Various Definitions of Area; and Inequalities Involving Mean Curvature.
Download or read book Isoperimetric Inequalities written by Isaac Chavel and published by Cambridge University Press. This book was released on 2001-07-23 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: This advanced introduction emphasizes the variety of ideas, techniques, and applications of the subject.
Download or read book Isoperimetric Inequalities and Applications written by Catherine Bandle and published by Pitman Publishing. This book was released on 1980 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Boundary Value Problems of Mathematical Physics and Related Aspects of Function Theory written by O. A. Ladyzhenskaya and published by Springer Science & Business Media. This book was released on 2013-11-21 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Problems in Wave Propagation Theory written by V. M. Babich and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 109 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers comprising this collection are directly or indirectly related to an important branch of mathematical physics - the mathematical theory of wave propagation and diffraction. The paper by V. M. Babich is concerned with the application of the parabolic-equation method (of Academician V. A. Fok and M. A, Leontovich) to the problem of the asymptotic behavior of eigenfunc tions concentrated in a neighborhood of a closed geodesie in a Riemannian space. The techniques used in this paper have been föund useful in solving certain problems in the theory of open resonators. The topic of G. P. Astrakhantsev's paper is similar to that of the paper by V. M. Babich. Here also the parabolic-equation method is used to find the asymptotic solution of the elasticity equations which describes Love waves concentrated in a neighborhood of some surface ray. The paper of T. F. Pankratova is concerned with finding the asymptotic behavior of th~ eigenfunc tions of the Laplace operator from the exact solution for the surface of a triaxial ellipsoid and the re gion exterior to it. The first three papers of B. G. Nikolaev are somewhat apart from the central theme of the col lection; they treat the integral transforms with respect to associated Legendre functions of first kind and their applications. Examples of such applications are the use of this transform for the solution of integral equations with symmetrie kernels and for the solution of certain problems in the theory of electrical prospecting.
Download or read book Investigations in Classical Problems of Probability Theory and Mathematical Statistics written by V. M. Kalinin and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Minimal Surfaces of Codimension One written by U. Massari and published by Elsevier. This book was released on 2000-04-01 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a unified presentation of different mathematical tools used to solve classical problems like Plateau's problem, Bernstein's problem, Dirichlet's problem for the Minimal Surface Equation and the Capillary problem.The fundamental idea is a quite elementary geometrical definition of codimension one surfaces. The isoperimetric property of the Euclidean balls, together with the modern theory of partial differential equations are used to solve the 19th Hilbert problem. Also included is a modern mathematical treatment of capillary problems.
