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Geometric inequalities on locally conformally flat manifolds

Pengfei Guan·Guofang Wang
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Abstract

Through the study of some elliptic and parabolic fully nonlinear PDEs, we establish conformal versions of quermassintegral inequality, the Sobolev inequality and the Moser-Trudinger inequality for the geometric quantities associated to the Schouten tensor on locally conformally flat manifolds.

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BibTeXRIS

Pengfei Guan, Guofang Wang. 2003-10-02. Geometric inequalities on locally conformally flat manifolds. https://arxiv.org/abs/math/0302343

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