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Zustand: New. Geometric flows have many applications in physics and geometry, while isoperimetric inequalities can help in treating several aspects of convergence of these flows. Based on a series of lectures given by the authors, the material here deals with both subjects. Series: Advanced Courses in Mathematics - CRM Barcelona. Num Pages: 122 pages, biography. BIC Classification: PBMP. Category: (UP) Postgraduate, Research & Scholarly. Dimension: 244 x 170 x 10. Weight in Grams: 318. . 2009. Paperback. . . . .
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Zustand: New. Geometric flows have many applications in physics and geometry, while isoperimetric inequalities can help in treating several aspects of convergence of these flows. Based on a series of lectures given by the authors, the material here deals with both subjects. Series: Advanced Courses in Mathematics - CRM Barcelona. Num Pages: 122 pages, biography. BIC Classification: PBMP. Category: (UP) Postgraduate, Research & Scholarly. Dimension: 244 x 170 x 10. Weight in Grams: 318. . 2009. Paperback. . . . . Books ship from the US and Ireland.
Sprache: Englisch
Verlag: American Mathematical Society, US, 2022
ISBN 10: 1470451182 ISBN 13: 9781470451189
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In den WarenkorbPaperback. Zustand: New. We consider the problem of minimizing the relative perimeter under a volume constraint in an unbounded convex body C ? Rn, without assuming any further regularity on the boundary of C. Motivated by an example of an unbounded convex body with null isoperimetric profile, we introduce the concept of unbounded convex body with uniform geometry. We then provide a handy characterization of the uniform geometry property and, by exploiting the notion of asymptotic cylinder of C, we prove existence of isoperimetric regions in a generalized sense. By an approximation argument we show the strict concavity of the isoperimetric profile and, consequently, the connectedness of generalized isoperimetric regions. We also focus on the cases of small as well as of large volumes; in particular we show existence of isoperimetric regions with sufficiently large volumes, for special classes of unbounded convex bodies. We finally address some questions about isoperimetric rigidity and analyze the asymptotic behavior of the isoperimetric profile in connection with the notion of isoperimetric dimension.
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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.
Sprache: Englisch
Verlag: American Mathematical Society, 2022
ISBN 10: 1470451182 ISBN 13: 9781470451189
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Taschenbuch. Zustand: Neu. Mean Curvature Flow and Isoperimetric Inequalities | Manuel Ritoré (u. a.) | Taschenbuch | Advanced Courses in Mathematics - CRM Barcelona | viii | Englisch | 2009 | Birkhäuser | EAN 9783034602129 | Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.
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Zustand: New. 276th edition NO-PA16APR2015-KAP.
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paperback. Zustand: Sehr gut. 86 Seiten; 9781470451189.2 Gewicht in Gramm: 500.
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In den WarenkorbPaperback. Zustand: New. We consider the problem of minimizing the relative perimeter under a volume constraint in an unbounded convex body C ? Rn, without assuming any further regularity on the boundary of C. Motivated by an example of an unbounded convex body with null isoperimetric profile, we introduce the concept of unbounded convex body with uniform geometry. We then provide a handy characterization of the uniform geometry property and, by exploiting the notion of asymptotic cylinder of C, we prove existence of isoperimetric regions in a generalized sense. By an approximation argument we show the strict concavity of the isoperimetric profile and, consequently, the connectedness of generalized isoperimetric regions. We also focus on the cases of small as well as of large volumes; in particular we show existence of isoperimetric regions with sufficiently large volumes, for special classes of unbounded convex bodies. We finally address some questions about isoperimetric rigidity and analyze the asymptotic behavior of the isoperimetric profile in connection with the notion of isoperimetric dimension.
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Sprache: Englisch
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ISBN 10: 3031379004 ISBN 13: 9783031379000
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Taschenbuch. Zustand: Neu. Isoperimetric Inequalities in Riemannian Manifolds | Manuel Ritoré | Taschenbuch | Progress in Mathematics | xviii | Englisch | 2024 | Birkhäuser | EAN 9783031379031 | Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.
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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This work gives a coherent introduction to isoperimetric inequalitiesin Riemannian manifolds, featuring many of the results obtained duringthe 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.
Sprache: Englisch
Verlag: Springer Nature Switzerland, Springer International Publishing, 2024
ISBN 10: 3031379039 ISBN 13: 9783031379031
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This work gives a coherent introduction to isoperimetric inequalitiesin Riemannian manifolds, featuring many of the results obtained duringthe 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.
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In den WarenkorbHardcover. Zustand: Brand New. 478 pages. 9.25x6.10x1.30 inches. In Stock.
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In den WarenkorbZustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Unique book which examines advances on isoperimetric problems related with geometric flows and suggests some new directions in the interplay between the two subjects.First book to give an introduction to the mean curvature flow with surgery starti.