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On the sharp dimension estimate of cr holomorphic functions in sasakian manifolds

Shu-Cheng Chang National Taiwan University Yingbo Han Xinyang Normal University Chien Lin National Tsinghua University

Differential Geometry mathscidoc:1801.10002

This is the very first 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 K¨ahler 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.
CR heat kernel, CR Yau’s uniformization conjecture, CR holomorphic function, Sharp dimension estimate.
[ Download ] [ 2018-01-28 15:18:54 uploaded by scchang ] [ 959 downloads ] [ 0 comments ] 
@inproceedings{shu-chengon,
  title={ON THE SHARP DIMENSION ESTIMATE OF CR HOLOMORPHIC FUNCTIONS IN SASAKIAN MANIFOLDS},
  author={Shu-Cheng Chang, Yingbo Han, and Chien Lin},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20180128151854440060912},
}
Shu-Cheng Chang, Yingbo Han, and Chien Lin. ON THE SHARP DIMENSION ESTIMATE OF CR HOLOMORPHIC FUNCTIONS IN SASAKIAN MANIFOLDS. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20180128151854440060912.
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