Sub-Riemannian balls in CR Sasakian manifolds
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- by Fabrice Baudoin and Michel Bonnefont PDF
- Proc. Amer. Math. Soc. 141 (2013), 3919-3924 Request permission
Abstract:
By using sub-Riemannian Li-Yau type heat kernel estimates we prove global estimates for the sub-Riemannian distance of CR Sasakian manifolds with nonnegative horizontal Webster-Tanaka Ricci curvature. In particular, in this setting, large sub-Riemannian balls are comparable to Riemannian balls.References
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Additional Information
- Fabrice Baudoin
- Affiliation: Department of Mathematics, Purdue University, West Lafayette, Indiana 47907
- MR Author ID: 690937
- ORCID: 0000-0001-5645-1060
- Email: fbaudoin@math.purdue.edu
- Michel Bonnefont
- Affiliation: Department of Mathematics, Purdue University, West Lafayette, Indiana 47907
- Received by editor(s): January 23, 2012
- Published electronically: July 24, 2013
- Additional Notes: The first author was supported in part by NSF Grant DMS 0907326
- Communicated by: Lei Ni
- © Copyright 2013
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 141 (2013), 3919-3924
- MSC (2010): Primary 32V20, 58J35
- DOI: https://doi.org/10.1090/S0002-9939-2013-11783-1
- MathSciNet review: 3091781