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Hardcover Isoperimetric Inequalities: Differential Geometric and Analytic Perspectives Book

ISBN: 0521802679

ISBN13: 9780521802673

Isoperimetric Inequalities: Differential Geometric and Analytic Perspectives

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Book Overview

This introduction treats the classical isoperimetric inequality in Euclidean space and contrasting rough inequalities in noncompact Riemannian manifolds. In Euclidean space the emphasis is on a most general form of the inequality sufficiently precise to characterize the case of equality, and in Riemannian manifolds the emphasis is on those qualitative features of the inequality which provide insight into the coarse geometry at infinity of Riemannian...

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