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Geometric analysis around scalar curvatures

Author: Fei Han, (Mathematician); Xingwang Xu; Weiping Zhang
Publisher: New Jersey : World Scientific, [2016] ©2016
Series: Lecture notes series (National University of Singapore. Institute for Mathematical Sciences), v. 31.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
"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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Geometric analysis around scalar curvatures.
New Jersey : World Scientific, 2016
(DLC) 2016003762
(OCoLC)940521126
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Fei Han, (Mathematician); Xingwang Xu; Weiping Zhang
ISBN: 9789813100558 9813100559
OCLC Number: 948734685
Description: 1 online resource (x, 201 pages) : illustrations.
Contents: Lectures on the Fourth-OrderQCurvature Equation --
An Introduction to the Finite and Infinite Dimensional ReductionMethods --
Einstein Constraint Equations on Riemannian Manifolds.
Series Title: Lecture notes series (National University of Singapore. Institute for Mathematical Sciences), v. 31.
Responsibility: editors Fei Han (NUS, Singapore), Xingwang Xu (NUS, Singapore), Weiping Zhang (Nankai University, China).

Abstract:

"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."--Provided by publisher.

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