New trends on analysis and geometry in metric spaces : Levico Terme, Italy 2017

Author(s)

Bibliographic Information

New trends on analysis and geometry in metric spaces : Levico Terme, Italy 2017

Fabrice Baudoin ... [et al.], editors

(Lecture notes in mathematics, 2296 . CIME Foundation subseries)

Springer, 2022

  • : pbk

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Note

"Fondazione CIME Roberto Conti"

Other editors: Séverine Rigot, Giuseppe Savaré, Nageswari Shanmugalingam, Luigi Ambrosio, Bruno Franchi, Irina Markina, Francesco Serra Cassano

Includes bibliographical references and index

Description and Table of Contents

Description

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-Caratheodory 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.

Table of Contents

- 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.

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Details

  • NCID
    BC12846309
  • ISBN
    • 9783030841409
  • Country Code
    sz
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Cham
  • Pages/Volumes
    v, 306 p.
  • Size
    24 cm
  • Parent Bibliography ID
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