Geometric Analysis Around Scalar Curvatures

Fei Han, Xingwang Xu, Weiping Zhang (Herausgeber)

Buch | Hardcover

220 Seiten

2016
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-310-054-1 (ISBN)

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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 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.

Erscheinungsdatum	24.06.2016
Reihe/Serie	Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore ; 31
Verlagsort	Singapore
Sprache	englisch
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	981-310-054-0 / 9813100540
ISBN-13	978-981-310-054-1 / 9789813100541
Zustand	Neuware