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arXiv · 2104.14358

Prescribed Webster scalar curvatures on compact pseudo-Hermitian manifolds

Yuxin Dong·Yibin Ren·Weike Yu
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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.

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Yuxin Dong, Yibin Ren, Weike Yu. 2021-04-29. Prescribed Webster scalar curvatures on compact pseudo-Hermitian manifolds. https://arxiv.org/abs/2104.14358

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