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math.DG2020
Generalized maximum principles and stochastic completeness for pseudo-Hermitian manifolds
Yuxin Dong, Weike Yu
In this paper, we establish a generalized maximum principle for pseudo-Hermitian manifolds. As corollaries, Omori-Yau type maximum principles for pseudo-Hermitian manifolds are ded…
math.DG2020
Schwarz type lemmas for generalized holomorphic maps between pseudo-Hermitian manifolds and Hermitian manifolds
Tian Chong, Yuxin Dong, Yibin Ren +1
In this paper, we consider some generalized holomorphic maps between pseudo-Hermitian manifolds and Hermitian manifolds. By Bochner formulas and comparison theorems, we establish r…