New Trends on Analysis and Geometry in Metric Spaces

New Trends on Analysis and Geometry in Metric Spaces

Levico Terme, Italy 2017

Herausgegeben: Ambrosio, Luigi; Franchi, Bruno; Markina, Irina; Serra Cassano, Francesco
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This book includes four courses on geometric measure theory, the calculus of variations, partial differential equations, and differential geometry. Authored by leading experts in their fields, the lectures present different approaches to research topics with the common background of a relevant underlying, usually non-Riemannian, geometric structure. In particular, the topics covered concern differentiation and functions of bounded variation in metric spaces, Sobolev spaces, and differential geometry in the so-called Carnot-Carathéodory spaces. The text is based on lectures presented at the 10...