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Mathematische Annalen, 2014, Volume 360, Issue 1, Pages 209–253
DOI: https://doi.org/10.1007/s00208-014-1034-6 (Mi matan3) 		 
This article is cited in 24 scientific papers (total in 24 papers)

Generalized Ricci curvature bounds for three dimensional contact subriemannian manifolds

A. A. Agrachevab, P. W. Y. Leec

a International School for Advanced Studies, via Beirut 4, 34014 Trieste, Italy
b Steklov Mathematical Institute, ul. Gubkina 8, Moscow 119991, Russia
c The Chinese University of Hong Kong, Room 216, Lady Shaw Building, Shatin, Hong Kong
Full-text PDF Citations (24)
DOI: https://doi.org/10.1007/s00208-014-1034-6
Abstract: Measure contraction property is one of the possible generalizations of Ricci curvature bound to more general metric measure spaces. In this paper, we discover necessary and sufficient conditions for a three dimensional contact subriemannian manifold to satisfy this property.
Funding agency Grant number
PRIN
Natural Sciences and Engineering Research Council of Canada (NSERC)
The first author was partially supported by PRIN and the second author was supported by NSERC postgraduate scholarship and postdoctoral fellowship.
Received: 27.03.2012
Revised: 27.01.2014
Bibliographic databases:
Document Type: Article
Language: English
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    • This publication is cited in the following 24 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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