Bishop and Laplacian comparison theorems on Sasakian manifolds

Abstract

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 work for the three dimensional case.

38 pages

References in corpus (1)

• Differential Harnack inequalities for a family of sub-elliptic diffusion equations on Sasakian manifolds

Cited by in corpus (3)

• Sub-Riemannian curvature in contact geometry
• Sub-Riemannian Ricci curvatures and universal diameter bounds for 3-Sasakian manifolds
• Horizontal Gradient Estimate of Positive Pseudo-Harmonic Functions on Complete Noncompact Pseudo-Hermitian Manifolds