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Geometric analysis around scalar curvatures
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Catalogue Information
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Details
Dewey Class
516.362 (DDC 23)
Title
Geometric analysis around scalar curvatures (M) / Editors Fei Han, Xingwang Xu, Weiping Zhang
Added Personal Name
Han, Fei
Zhang, Weiping
Xu, Xingwang
Publication
Singapore : World Scientific , 2016
Physical Details
x, 210 pages : illustrations ; 24 cm.
Series
Lecture notes series
; volume 31
ISBN
9789813100541
Summary Note
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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Subject References:
Algebraic Topology
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Curvature
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Geometric analysis
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Riemannian manifolds
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Authors:
Han, Fei
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Xu, Xingwang
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Zhang, Weiping
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Series:
Lecture notes series
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Classification:
516.362 (DDC 23)
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0000000043539
514.7 GEO
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