Manuel Ritoré 
Isoperimetric Inequalities in Riemannian Manifolds [PDF ebook] 

Stöd

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.

€160.49
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Innehållsförteckning

– 1. Introduction. – 2. Isoperimetric Inequalities in Surfaces. – 3. The Isoperimetric Profile of Compact Manifolds. – 4. The Isoperimetric Profile of Non-compact Manifolds. – 5. Symmetrization and Classical Results. – 6. Space Forms. – 7. The Isoperimetric Profile for Small and Large Volumes. – 8. Isoperimetric Comparison for Sectional Curvature. – 9. Relative Isoperimetric Inequalities.

Om författaren

Manuel Ritoré is professor of Mathematics at the University of Granada since 2007. His earlier research focused on geometric inequalities in Riemannian manifolds, specially on those of isoperimetric type. In this field he has obtained some results such as a classification of isoperimetric sets in the 3-dimensional real projective space; a classification of 3-dimensional double bubbles; existence of solutions of the Allen-Cahn equation near non-degenerate minimal surfaces; an alternative proof of the isoperimetric conjecture for 3-dimensional Cartan-Hadamard manifolds; optimal isoperimetric inequalities outside convex sets in the Euclidean space; and a characterization of isoperimetric regions of large volume in Riemannian cylinders, among others. Recently, he has become interested on geometric variational problems in spaces with less regularity, such as sub-Riemannian manifolds or more general metric measure spaces, where he has obtained a classification of isoperimetric sets inthe first Heisenberg group under regularity assumptions, and Brunn-Minkowski inequalities for metric measure spaces, among others.

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Språk Engelska ● Formatera PDF ● Sidor 460 ● ISBN 9783031379017 ● Filstorlek 11.5 MB ● Utgivare Springer International Publishing ● Stad Cham ● Land CH ● Publicerad 2023 ● Nedladdningsbara 24 månader ● Valuta EUR ● ID 9157550 ● Kopieringsskydd Social DRM

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