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math.DG2013
Curvatures and hyperbolic flows for natural mechanical systems in Finsler geometry
Chengbo Li
We consider a natural mechanical system on a Finsler manifold and study its \emph{curvature} using the intrinsic Jacobi equations (called \emph{Jacobi curves}) along the extremals…
math.DG2013★ 3 cited
Bishop and Laplacian comparison theorems on Sasakian manifolds
Paul W. Y. Lee, Chengbo Li
We prove a Bishop volume comparison theorem and a Laplacian comparison theorem for a natural sub-Riemannian structure defined on Sasakian manifolds. This generalizes the earlier wo…
math.DG2013
Ricci curvature type lower bounds for sub-Riemannian structures on Sasakian manifolds
Paul W. Y. Lee, Chengbo Li, Igor Zelenko
Measure contraction properties are generalizations of the notion of Ricci curvature lower bounds in Riemannian geometry to more general metric measure spaces. In this paper, we giv…