A class of fully nonlinear equations arising in conformal geometry

Li Chen; Xi Guo; Yan He

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A class of fully nonlinear equations arising in conformal geometry

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arxiv 1910.02568 v1 pith:INXOZIOS submitted 2019-10-07 math.DG math.AP

A class of fully nonlinear equations arising in conformal geometry

Li Chen , Xi Guo , Yan He This is my paper

classification math.DG math.AP

keywords equationsclassfullynonlineararisingassociatedclosedconformal

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In this paper, we consider a class of fully nonlinear equations on closed smooth Riemannian manifolds, which can be viewed as an extension of $\sigma_k$ Yamabe equation. Moreover, we prove local gradient and second derivative estimates for solutions to these equations and establish an existence result associated to them.

A class of fully nonlinear equations arising in conformal geometry

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