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MiS Preprint
82/2003
Geometric inequalities on locally conformally flat manifolds
Pengfei Guan and Guofang Wang
Abstract
Through the study of some elliptic and parabolic fully nonlinear PDEs, we establish conformal versions of the quermassintegral inequality, the Sobolev inequality and the Moser-Trudinger inequality for the geometric quantities associated to the Schouten tensor on locally conformally flat manifolds.
