Download Geometric Analysis Around Scalar Curvatures: 31 by Fei Han,Xingwang Xu,Weiping Zhang PDF

By Fei Han,Xingwang Xu,Weiping Zhang

This quantity includes 3 increased lecture notes from this system Scalar Curvature in Manifold Topology and Conformal Geometry that used to be held on the Institute for Mathematical Sciences from 1 November to 31 December 2014. the 1st bankruptcy surveys the new advancements at the fourth-order equations with destructive exponent from geometric issues of view reminiscent of confident mass theorem and distinctiveness effects. the subsequent bankruptcy bargains with the hot very important development on a number of conjectures comparable to the life of non-flat soft hyper-surfaces and Serrin's over-determined challenge. And the ultimate bankruptcy induces a brand new strategy to deal with the equation with severe index and the signal swap coefficient in addition to the detrimental index time period. those subject matters should be of curiosity to these learning conformal geometry and geometric partial differential equations.

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