Generalized Ricci curvature bounds for three dimensional contact subriemannian manifolds
By Andrei A. Agrachev, Paul W. Y. Lee. 2009
98 citations recorded by the source corpus.
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.
Subfields: Applied Mathematics, Astronomy and Astrophysics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/35f0249dd2409fd23842478fc5bc1181c8d83093
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In Applied Mathematics
- Davide Barilari
- L. Rizzi
- Andrei A. Agrachev
- Fabrice Baudoin
- Nicola Garofalo
- Ugo V. Boscain
- Manuel Ritor'e
- Scott D. Pauls
In Astronomy and Astrophysics
- Davide Barilari
- L. Rizzi
- Fabrice Baudoin
- Nicola Garofalo
- Andrei A. Agrachev
- Manuel Ritor'e
- Igor Zelenko
- Ugo V. Boscain
In Geometry and Topology
- Davide Barilari
- Nicola Garofalo
- Fabrice Baudoin
- L. Rizzi
- Andrei A. Agrachev
- Ugo V. Boscain
- Benoît Bonnet
- Andrea Mondino
Citations in the corpus
- Curvature-dimension inequalities and Ricci lower bounds for sub-Riemannian manifolds with transverse symmetries (2011, methodology): “In their preprint [2] Agrachev and Lee have used a notion of Ricci tensor, denoted by Ric, which was introduced by the first author in [1].”
- Sub-Riemannian Curvature in Contact Geometry (2015, methodology): “Finally, with Riccati comparison techniques for 3D contact [6], 3-Sasakian [26] and for any sub-Riemannian structure [9].”