New Trends on Analysis and Geometry in Metric Spaces
Fabrice Baudoin, Séverine Rigot, Giuseppe Savaré, Nageswari Shanmugalingam
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 10th School on "Analysis and Geometry in Metric Spaces" held in Levico Terme (TN), Italy, in collaboration with the University of Trento, Fondazione Bruno Kessler and CIME, Italy. The book is addressed to both graduate students and researchers.
年:
2022
出版社:
Springer
语言:
english
页:
312
ISBN 10:
3030841405
ISBN 13:
9783030841409
文件:
PDF, 3.70 MB
IPFS:
,
english, 2022
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