Bishop and Laplacian Comparison Theorems on Three Dimensional Contact Subriemannian Manifolds with Symmetry

Abstract

We prove a Bishop volume comparison theorem and a Laplacian comparison theorem for three dimensional contact subriemannian manifolds with symmetry.

26 pages (some typos fixed)

References in corpus (1)

• Generalized Bochner formulas and Ricci lower bounds for sub-Riemannian manifolds of rank two

Cited by in corpus (2)

• Poincare inequality and the uniqueness of solutions for the heat equation associated with subelliptic diffusion operators
• On the curvature and heat flow on Hamiltonian systems