Geometric Analysis Around Scalar Curvatures
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Blow-Up Analysis
Category=PBKJ
Category=PBM
Category=PBMP
Category=PBP
Einstein Equation
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Integral Estimate
Lyapunov-Schmidt Reduction Methods
LyapunovAcAEURA"Schmidt Reduction Methods
Lyapunov–Schmidt Reduction Methods
Manifolds
Negative Gradient Flow
Positive Mass Theorem
Scalar Curvatures
Scalar Field Equation
Product details
- ISBN 9789813100541
- Publication Date: 14 Jun 2016
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
