【摘 要】
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The conformal fractional Laplacian is a pseudo-differential operator on the conformal infinity of a conformally compact Einstein manifold,and it is construc
【机 构】
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UniversitatPolitecnicadeCatalunya
【出 处】
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International Workshop on Conformal Geometry and Geometric P
论文部分内容阅读
The conformal fractional Laplacian is a pseudo-differential operator on the conformal infinity of a conformally compact Einstein manifold,and it is constructed through scattering theory.Fractional order curvature is defined from the conformal fractional Laplacian and can be understood a non-local generalization of mean curvature.In this minicourse we will formulate the(fractional)Yamabe problem and give the solution in several cases.Although the operator is nonlocal,the main idea is to write a local extension problem that can be handled through elliptic methods.
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