Isoperimetric Inequalities in the Theory of Surfaces of Bounded External Curvature PDF Download
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Author: Iurii D. Burago
Publisher: Springer
ISBN:
Category : Juvenile Nonfiction
Languages : en
Pages : 118
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Book Description
Author: Iurii D. Burago
Publisher: Springer
ISBN:
Category : Juvenile Nonfiction
Languages : en
Pages : 118
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Book Description
Author: Jurij Dmitrijevic Burago
Publisher:
ISBN:
Category :
Languages : en
Pages : 99
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Book Description
Author:
Publisher:
ISBN:
Category :
Languages : de
Pages : 99
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Book Description
Author: Matematicheskiĭ institut im. V.A. Steklova. Leningradskoe otdelenie
Publisher:
ISBN:
Category : Curves, Algebraic
Languages : en
Pages : 0
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Book Description
![Isoperimetric Inequalities in the Theory of Surfaces of Bounded External Curvature, [by] Yu. D. Burago PDF](https://books.google.com/books/content/images/frontcover/44F9swEACAAJ?fife=w80-h100)
Author: IUriǐ Dmitrievich Burago
Publisher:
ISBN:
Category : Inequalities (Mathematics)
Languages : en
Pages : 99
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Book Description
Author: Manuel Ritoré
Publisher: Springer Science & Business Media
ISBN: 3034602138
Category : Mathematics
Languages : en
Pages : 113
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Book Description
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.
Author: Manuel Ritoré
Publisher: Springer Nature
ISBN: 3031379012
Category : Mathematics
Languages : en
Pages : 470
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Book Description
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.
Author: Yu. D. Burago
Publisher:
ISBN:
Category :
Languages : en
Pages : 100
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Book Description
Author: G. Polya
Publisher: Princeton University Press
ISBN: 1400882664
Category : Mathematics
Languages : en
Pages : 279
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Book Description
The description for this book, Isoperimetric Inequalities in Mathematical Physics. (AM-27), Volume 27, will be forthcoming.
Author: Dechang Chen
Publisher:
ISBN:
Category : Curvature
Languages : en
Pages : 60
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Book Description
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)
