Sub-Laplacian Comparison Theorem and Gradient Estimates on Complete Noncompact Contact Riemannian Manifolds
Year: 2026
Type: preprint
Abstract: In this paper, we first derive the Bochner-type formulas of the Hermitian-Tanno connection on contact Riemannian manifolds. Second, we prove a sub-Laplacian comparison theorem on complete noncompact contact Riemannian manifolds with bounded geometric conditions. Finally, we obtain the gradient estimates of a positive eigenfunction on a complete noncompact contact Riemannian manifold which satisfies similar geometric conditions.
Source: arXiv (Cornell University)
Authors: Yang, Guilin, Zhao, Biqiang, Zheng, Weihao
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Awards: G1509422949, G3266040205, G6256699353
OpenAlex ID: W7223696661