Geometric Analysis Around Scalar Curvatures: 31 (Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore)

Weiping Zhang,Xingwang Xu,Fei Han

ISBN 10: 9813100540 / ISBN 13: 9789813100541

Editore: World Scientific Publishing Comp, 2016

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Titolo: Geometric Analysis Around Scalar Curvatures:...

Casa editrice: World Scientific Publishing Comp

Data di pubblicazione: 2016

Legatura: Hardcover

Condizione: New

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This volume contains three expanded lecture notes from the program Scalar Curvature in Manifold Topology and Conformal Geometry that was held at the Institute for Mathematical Sciences from 1 November to 31 December 2014. The first chapter surveys the recent development on the fourth order equations with negative exponent from geometric point of views such as positive mass theorem and uniqueness results. The next chapter deals with the recent important progress on several conjectures such as the existence of non-flat smooth hyper-surfaces and Serrin's over-determined problem. And the final chapter induces the new technique to handle the equation with critical index and the sign change coefficient as well as the negative index term. These topics will be of interest to those studying conformal geometry and geometric partial differential equations.