Geometric analysis

by Bray, Hubert L.

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Title Statements

Full title :Geometric analysis / Hubert L. Bray, Greg Galloway, Rafe Mazzeo, Natasa Sesum, editors.

Summary

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.

Edition Statements

Publication Date:©2016

Publication Statements

Publisher(s):American Mathematical Society, Institute for Advanced Study
Place of Publication:Providence
Language:eng
Publication Date:©2016

The Physical Object

Description:xvi, 438 pages : : illustrations (some color) ; : 27 cm

Edition Identifiers

ISBN:9781470423131, 1470423138
oclc:ocn951841060
LC Classification:QA360
Dewey Decimal:515/.1

Heat diffusion in geometry / Gerhard Huisken -- Applications of Hamilton's compactness theorem for Ricci flow / Peter Topping -- The Kähler-Ricci flow on compact Kähler manifolds / Ben Weinkove -- Park City lectures on eigenfunctions / Steve Zelditch -- Critical metrics for Riemannian curvature functionals / Jeff A. Viaclovsky -- Min-max theory and a proof of the Willmore conjecture / Fernando C. Marques and André Neves -- Weak immersions of surfaces with L²-bounded second fundamental form / Tristan Riviére -- Introduction to minimal surface theory / Brian White.

Subjects

Analyse géométrique Analyse mathématique Differential geometry -- Proceedings, c… Geometric analysis Mathematical analysis Partial differential equations -- Proce… Relativity and gravitational theory -- …