Geometric Analysis Around Scalar Curvatures

Nonfiction, Science & Nature, Mathematics, Differential Equations, Geometry
Cover of the book Geometric Analysis Around Scalar Curvatures by Fei Han, Xingwang Xu, Weiping Zhang, World Scientific Publishing Company
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Fei Han, Xingwang Xu, Weiping Zhang ISBN: 9789813100565
Publisher: World Scientific Publishing Company Publication: April 18, 2016
Imprint: WSPC Language: English
Author: Fei Han, Xingwang Xu, Weiping Zhang
ISBN: 9789813100565
Publisher: World Scientific Publishing Company
Publication: April 18, 2016
Imprint: WSPC
Language: English

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.

Contents:

  • Lectures on the Fourth-Order Q Curvature Equation (Fengbo Hang and Paul C Yang)
  • An Introduction to the Finite and Infinite Dimensional Reduction Methods (Manuel del Pino and Juncheng Wei)
  • Einstein Constraint Equations on Riemannian Manifolds (Quôc Anh Ngô)

Readership: Advanced undergraduates, graduate students and researchers interested in the study of conformal geometry and geometric partial differential equations.
Key Features:

  • Includes recent developments and several new methods on geometric analysis of scalar curvatures
  • Excellent references for graduate students as well as for young researchers
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

Contents:

Readership: Advanced undergraduates, graduate students and researchers interested in the study of conformal geometry and geometric partial differential equations.
Key Features:

More books from World Scientific Publishing Company

Cover of the book Shifting Sands by Fei Han, Xingwang Xu, Weiping Zhang
Cover of the book Legitimacy by Fei Han, Xingwang Xu, Weiping Zhang
Cover of the book The Book of Numbers by Fei Han, Xingwang Xu, Weiping Zhang
Cover of the book Farewell to China's GDP Worship by Fei Han, Xingwang Xu, Weiping Zhang
Cover of the book Quantum Leaps by Fei Han, Xingwang Xu, Weiping Zhang
Cover of the book Basic Theory of Fractional Differential Equations by Fei Han, Xingwang Xu, Weiping Zhang
Cover of the book Reviews of Accelerator Science and Technology by Fei Han, Xingwang Xu, Weiping Zhang
Cover of the book Nuclear Particle Correlations and Cluster Physics by Fei Han, Xingwang Xu, Weiping Zhang
Cover of the book Numerical Modeling of Ocean Dynamics by Fei Han, Xingwang Xu, Weiping Zhang
Cover of the book Evidence-Based Medicine by Fei Han, Xingwang Xu, Weiping Zhang
Cover of the book Computer Architecture by Fei Han, Xingwang Xu, Weiping Zhang
Cover of the book Inside Real Innovation by Fei Han, Xingwang Xu, Weiping Zhang
Cover of the book China's Township System by Fei Han, Xingwang Xu, Weiping Zhang
Cover of the book Tools to Help Your Children Learn Math by Fei Han, Xingwang Xu, Weiping Zhang
Cover of the book Clinical Handbook of Chinese Medicine by Fei Han, Xingwang Xu, Weiping Zhang
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy