Geometric Analysis Around Scalar Curvatures

Know about the book -

Geometric Analysis Around Scalar Curvatures is written by Fei Han and published by World Scientific. It's available with International Standard Book Number or ISBN identification 9813100567 (ISBN 10) and 9789813100565 (ISBN 13).

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 developments on the fourth-order equations with negative exponent from geometric points of view 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 a 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.