A fully nonlinear version of the Yamabe problem on locally conformally flat manifolds with umbilic boundary

Luc Nguyen; Yanyan Li

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arxiv 0911.3366 v1 pith:A4VXZ2ZC submitted 2009-11-17 math.AP math.DG

A fully nonlinear version of the Yamabe problem on locally conformally flat manifolds with umbilic boundary

YanYan Li , Luc Nguyen This is my paper

classification math.AP math.DG

keywords boundaryconformallyflatfullylocallymanifoldsnonlinearproblem

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In this paper we establish existence and compactness of solutions to a general fully nonlinear version of the Yamabe problem on locally conformally flat Riemannian manifolds with umbilic boundary.

A fully nonlinear version of the Yamabe problem on locally conformally flat manifolds with umbilic boundary

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