Geometric Inequalities

ISBN-13: 9783642057243 / Angielski / Miękka / 2010 / 334 str.

Yurii D. Burago; Viktor A. Zalgaller; A. B. Sossinsky

Opis

A 1988 classic, covering Two-dimensional Surfaces; Domains on the Plane and on Surfaces; Brunn-Minkowski Inequality and Classical Isoperimetric Inequality; Isoperimetric Inequalities for Various Definitions of Area; and Inequalities Involving Mean Curvature.

Spis treści

1. Two-Dimensional Surfaces.- 2. The Brunn-Minkowski Inequality and the Classical Isoperimetric Inequality.- 3. Isoperimetric Inequalities for Various Definitions of Area.- 4. Mixed Volumes.- 5. Immersions in ?n.- 6. Riemannian Manifolds.- Author Index.