Prescribed Webster scalar curvatures on compact pseudo-Hermitian manifolds
Differential Geometry
2021-04-30 v1
Abstract
In this paper, we investigate the problem of prescribing Webster scalar curvatures on compact pseudo-Hermitian manifolds. In terms of the method of upper and lower solutions and the perturbation theory of self-adjoint operators, we can describe some sets of Webster scalar curvature functions which can be realized through pointwise CR conformal deformations and CR conformally equivalent deformations respectively from a given pseudo-Hermitian structure.
Keywords
Cite
@article{arxiv.2104.14358,
title = {Prescribed Webster scalar curvatures on compact pseudo-Hermitian manifolds},
author = {Yuxin Dong and Yibin Ren and Weike Yu},
journal= {arXiv preprint arXiv:2104.14358},
year = {2021}
}
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21 pages