New Trends on Analysis and Geometry in Metric Spaces

Levico Terme, Italy 2017

Luigi Ambrosio, Bruno Franchi, Irina Markina, Francesco Serra Cassano (Herausgeber)

Fabrice Baudoin, Séverine Rigot, Giuseppe Savaré, Nageswari Shanmugalingam (Autoren)

Buch | Softcover

V, 308 Seiten

2022 | 1st ed. 2022
Springer International Publishing (Verlag)
978-3-030-84140-9 (ISBN)

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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 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.

- Introduction to the Notes of the School on Analysis and Geometry in Metric Spaces. - Geometric Inequalities on Riemannian and Sub-Riemannian Manifolds by Heat Semigroups Techniques. - Differentiation of Measures in Metric Spaces. - Sobolev Spaces in Extended Metric-Measure Spaces. - Brief Survey on Functions of Bounded Variation (BV) in Metric Setting.

Erscheinungsdatum	06.02.2022
Reihe/Serie	C.I.M.E. Foundation Subseries
Reihe/Serie	Lecture Notes in Mathematics
Zusatzinfo	V, 308 p.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	486 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
Schlagworte	Bounded Variation Functions • Carnot-Carathéodory Spaces • Carnot Groups • Covering Theorems • Differential Geometry in Carnot-Carathéodory Spaces • Isodiametric Inequalities • Metric Spaces • Sobolev spaces
ISBN-10	3-030-84140-5 / 3030841405
ISBN-13	978-3-030-84140-9 / 9783030841409
Zustand	Neuware