On the Sharp Dimension Estimate of CR Holomorphic Functions in Sasakian Manifolds

Author:

Chang Shu-Cheng1,Han Yingbo2,Lin Chien3

Affiliation:

1. Department of Mathematics and Taida Institute for Mathematical Sciences (TIMS), National Taiwan University, Taipei 10617, Taiwan, R.O.C

2. School of Mathematics and Statistics, Xinyang Normal University Xinyang, 464000, Henan, P.R. China

3. Yau Mathematical Science Center, Tsinghua University, Haidian Distict, Beijing 100084, China

Abstract

Abstract This is the very 1st paper to focus on the CR analogue of Yau’s uniformization conjecture in a complete noncompact pseudohermitian $(2n+1)$-manifold of vanishing torsion (i.e., Sasakian manifold), which is an odd dimensional counterpart of Kähler geometry. In this paper, we mainly deal with the problem of the sharp dimension estimate of CR holomorphic functions in a complete noncompact pseudohermitian manifold of vanishing torsion with nonnegative pseudohermitian bisectional curvature.

Funder

Ministry of Science and Technology

National Natural Science Foundation of China

Nanhu Scholars Program for Young Scholars of Xinyang Normal University

Universities Young Teachers Program of Henan Province

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Existence of nonconstant CR-holomorphic functions of polynomial growth in Sasakian manifolds;Journal für die reine und angewandte Mathematik (Crelles Journal);2023-08-17

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