Abstract
Through the study of some elliptic and parabolic fully nonlinear partial differential equations, we establish conformal versions of the quermass-integral inequality, the Sobolev inequality, and the Moser-Trudinger inequality for the geometric quantities associated to the Schouten tensor on {locally conformally flat} manifolds.
Citation
Pengfei Guan. Wang Guofang. "Geometric inequalities on locally conformally flat manifolds." Duke Math. J. 124 (1) 177 - 212, 15 July 2004. https://doi.org/10.1215/S0012-7094-04-12416-9
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