Differentiable rigidity under Ricci curvature lower bound
نویسندگان
چکیده
منابع مشابه
Measure Rigidity of Ricci Curvature Lower Bounds
The measure contraction property, MCP for short, is a weak Ricci curvature lower bound conditions for metric measure spaces. The goal of this paper is to understand which structural properties such assumption (or even weaker modifications) implies on the measure, on its support and on the geodesics of the space. We start our investigation from the euclidean case by proving that if a positive Ra...
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ژورنال
عنوان ژورنال: Duke Mathematical Journal
سال: 2012
ISSN: 0012-7094
DOI: 10.1215/00127094-1507272