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Geometric Analysis and PDEs

2009-06-26 Mathematics
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Release : 2009-06-26
Genre : Mathematics
Kind : eBook
Book Rating : 731/5 ( reviews)

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Book Synopsis Geometric Analysis and PDEs by : Matthew J. Gursky

Download or read book Geometric Analysis and PDEs written by Matthew J. Gursky. This book was released on 2009-06-26. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains lecture notes on key topics in geometric analysis, a growing mathematical subject which uses analytical techniques, mostly of partial differential equations, to treat problems in differential geometry and mathematical physics.

Geometric Analysis

2016-05-18 Mathematics
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Release : 2016-05-18
Genre : Mathematics
Kind : eBook
Book Rating : 138/5 ( reviews)

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Book Synopsis Geometric Analysis by : Hubert L. Bray

Download or read book Geometric Analysis written by Hubert L. Bray. This book was released on 2016-05-18. Available in PDF, EPUB and Kindle. Book excerpt: This volume includes expanded versions of the lectures delivered in the Graduate Minicourse portion of the 2013 Park City Mathematics Institute session on Geometric Analysis. The papers give excellent high-level introductions, suitable for graduate students wishing to enter the field and experienced researchers alike, to a range of the most important areas of geometric analysis. These include: the general issue of geometric evolution, with more detailed lectures on Ricci flow and Kähler-Ricci flow, new progress on the analytic aspects of the Willmore equation as well as an introduction to the recent proof of the Willmore conjecture and new directions in min-max theory for geometric variational problems, the current state of the art regarding minimal surfaces in R3, the role of critical metrics in Riemannian geometry, and the modern perspective on the study of eigenfunctions and eigenvalues for Laplace–Beltrami operators.

Geometric Analysis

2012-05-03 Mathematics
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Release : 2012-05-03
Genre : Mathematics
Kind : eBook
Book Rating : 646/5 ( reviews)

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Book Synopsis Geometric Analysis by : Peter Li

Download or read book Geometric Analysis written by Peter Li. This book was released on 2012-05-03. Available in PDF, EPUB and Kindle. Book excerpt: This graduate-level text demonstrates the basic techniques for researchers interested in the field of geometric analysis.

Lecture Notes on Geometric Analysis

1996
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Release : 1996
Genre :
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Lecture Notes on Geometric Analysis by : Peter Li

Download or read book Lecture Notes on Geometric Analysis written by Peter Li. This book was released on 1996. Available in PDF, EPUB and Kindle. Book excerpt:

Geometric Analysis Around Scalar Curvatures

2016-04-18 Mathematics
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Release : 2016-04-18
Genre : Mathematics
Kind : eBook
Book Rating : 567/5 ( reviews)

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Book Synopsis Geometric Analysis Around Scalar Curvatures by : Fei Han

Download or read book Geometric Analysis Around Scalar Curvatures written by Fei Han. This book was released on 2016-04-18. Available in PDF, EPUB and Kindle. Book excerpt: 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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