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Unified synthetic ricci curvature lower bounds for Riemannian and sub-Riemannian structures / Davide Barilari, Andrea Mondino, Luca Rizzi.

Math/Physics/Astronomy Library QA3 .A57 no.1613
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Format:
Book
Author/Creator:
Barilari, Davide, author.
Mondino, Andrea, 1984- author.
Rizzi, L. (Luca), 1984- author.
Series:
Memoirs of the American Mathematical Society ; volume 317, number 1613.
Memoirs of the American Mathematical Society, 0065-9266 ; volume 317, number 1613
Language:
English
Subjects (All):
Geometry, Differential.
Functional analysis.
Metric spaces.
Physical Description:
viii, 145 pages : illustrations ; 26 cm.
Place of Publication:
Providence, RI : American Mathematical Society, 2026.
Summary:
Recent advances in the theory of metric measures spaces on the one hand, and of sub-Riemannian ones on the other hand, suggest the possibility of a "great unification" of Riemannian and sub-Riemannian geometries in a comprehensive framework of synthetic Ricci curvature lower bounds. With the aim of achieving such a unification program, in this paper we initiate the study of gauge metric measure spaces.
Notes:
Includes bibliographical references (pages 141-145).
ISBN:
1470478064
9781470478063
OCLC:
1574563515

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