Geometric Analysis Around Scalar Curvatures - 9789813100541

Description: Geometric Analysis Around Scalar CurvaturesAuthor(s): Fei Han, Xingwang Xu, Weiping Zhang Format: Hardback Publisher: World Scientific Publishing Co Pte Ltd, Singapore Imprint: World Scientific Publishing Co Pte Ltd ISBN-13: 9789813100541, 978-9813100541 Synopsis 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.

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Book Title: Geometric Analysis Around Scalar Curvatures

Publisher: World Industries Scientific Publishing Co Pte LTD

Subject: Mathematics

Publication Year: 2016

Number of Pages: 220 Pages

Publication Name: Geometric Analysis Around Scalar Curvatures

Language: English

Type: Textbook

Author: Weiping Zhang, Fei Han, Xingwang Xu

Series: Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore

Format: Hardcover