Geometric Analysis

Hubert L. Bray

ISBN 10: 1470423138 / ISBN 13: 9781470423131

Editore: American Mathematical Society, US, 2016

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. Codice articolo LU-9781470423131

Riassunto:

Editors Bray, Galloway, Mazzeo, Sesum present readers with a collection of academic lectures delivered in the Graduate Minicourse section of the 2013 Park City Mathematics Institute session on Geometric Analysis. The editors have organized the lectures that make up the main body of the text in sections devoted to the scholar who presented them, beginning with Gerhard Huisken’s lecture on heat diffusion in geometry and concluding with Brian White’s four lecture series introducing minimal surface theory. Other subjects addressed include Riemannian curvature functionals, min-max theory and the Willmore conjecture, Eigenfunctions, and many others. Annotation ©2016 Ringgold, Inc., Portland, OR (protoview.com)

Dati bibliografici

Titolo: Geometric Analysis
Casa editrice: American Mathematical Society, US
Data di pubblicazione: 2016
Legatura: Hardback
Condizione: New