Geometric Analysis (IAS/Park City Mathematics Series) - Hardcover

 
9781470423131: Geometric Analysis (IAS/Park City Mathematics Series)
Hardcover
ISBN 10: 1470423138 ISBN 13: 9781470423131
Publisher: American Mathematical Society, 2016

Synopsis

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 Kahler-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 $R^3$, the role of critical metrics in Riemannian geometry, and the modern perspective on the study of eigenfunctions and eigenvalues for Laplace-Beltrami operators.

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About the Author

Hubert L. Bray, Duke University, Durham, NC, USA.

Greg Galloway, University of Miami, Coral Gables, FL, USA.

Rafe Mazzeo, Stanford University, CA, USA.

Natasa Sesum, Rutgers University, Piscataway, NJ, USA.

"About this title" may belong to another edition of this title.

Publisher
American Mathematical Society
Publication date
2016
Language
English
ISBN 10 
1470423138
ISBN 13 
9781470423131
Binding
Hardcover
Number of pages
443
Editor
Bray Hubert L., Galloway Greg, Mazzeo Rafe, Sesum Natasa