A. A. Agrachev, P. W. Y. Lee, “Generalized Ricci curvature bounds for three dimensional contact subriemannian manifolds”, Math. Ann., 2014, Volume 360, Issue 1,Pages <nobr>209

This article is cited in 21 papers

Generalized Ricci curvature bounds for three dimensional contact subriemannian manifolds

A. A. Agrachev^ab, P. W. Y. Lee^c

^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

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.

Received: 27.03.2012
Revised: 27.01.2014

Language: English

DOI: 10.1007/s00208-014-1034-6