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Ricci curvature lower bounds on Sasakian manifolds
- Publication Year :
- 2015
-
Abstract
- Measure contraction property is a synthetic Ricci curvature lower bound for metric measure spaces. We consider Sasakian manifolds with non-negative Tanaka-Webster Ricci curvature equipped with the metric measure space structure defined by the sub-Riemannian metric and the Popp measure. We show that these spaces satisfy the measure contraction property $MCP(0,N)$ for some positive integer $N$. We also show that the same result holds when the Sasakian manifold is equipped with a family of Riemannian metrics extending the sub-Riemannian one.<br />Comment: 30 pages
- Subjects :
- Mathematics - Differential Geometry
53C17, 31E05
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1511.09381
- Document Type :
- Working Paper