Titlebook: Isoperimetric Inequalities in Riemannian Manifolds; Manuel Ritoré Book 2023 Springer Nature Switzerland AG 2023 Isoperimetric Regions.Isop

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978-3-031-37903-1Springer Nature Switzerland AG 2023

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Introduction,In this chapter, we collect some basic material that will be widely used throughout this work. Some knowledge of well-known results in Riemannian geometry will be assumed.

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Symmetrization and Classical Results,In the theory of isoperimetric inequalities, a . is a procedure to obtain another set . with the same volume as ., no larger perimeter, and additional symmetries. Symmetrization is a very powerful method to reduce the number of isoperimetric candidates in a given space and generally requires that the ambient manifold itself possesses symmetries.

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Manuel RitoréWritten in a clear and appealing style.Collects results obtained over the last 25 years.Includes a great deal of introductory material

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