Isoperimetric inequalities in Riemannian manifolds / Manuel Ritoré.

"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 mate...

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Bibliographic Details
Main Author: Ritoré, Manuel (Author)
Format: Book
Language:English
Published: Cham, Switzerland : Birkhäuser, [2023]
Series:Progress in mathematics (Boston, Mass.) ; v. 348.
Subjects:
Table of Contents:
  • Introduction
  • Isoperimetric Inequalities in Surfaces
  • The Isoperimetric Profile of Compact Manifolds
  • The Isoperimetric Profile of Non-compact Manifolds
  • Symmetrization and Classical Results
  • Space Forms
  • The Isoperimetric Profile for Small and Large Volumes
  • Isoperimetric Comparison for Sectional Curvature
  • Relative Isoperimetric Inequalities.