2011 Paperback (ISBN 9781571462305)

2011 Paperback (ISBN 9781571462305)

Advanced Lectures in Mathematics

Volume 20

Surveys in Geometric Analysis and Relativity

Editors

Hubert L. Bray (Duke University)

William P. Minicozzi II (Johns Hopkins University)

Published: 31 December 2011

Publisher: International Press of Boston, Inc.

Language: English

Paperback

546 pages

List Price: $85.00

Description

This volume presents twenty-three selected survey articles on central topics of geometric analysis and general relativity, written by prominent experts in the fields. Topics of geometric analysis include: the Yamabe problem, mean curvature flow, minimal surfaces, harmonic maps, Ricci flow, gluing and desingularization constructions, function theory, collapsing of manifolds, Kähler-Einstein metrics, asymptotic geometry of complete manifolds, and the geometry of Teichmüller spaces. General relativity topics include: the positive mass theorem, the Penrose inequality, scalar curvature and Einstein’s constraint equations, quasi-local mass functionals, the topology of higher dimensional black holes, and the positive mass theorem for asymptotically hyperbolic manifolds.

This volume is dedicated to Richard Schoen—in honor of his contributions to both geometric analysis and general relativity. It is intended for both researchers and graduate students working in those fields.

This volume is part of the Advanced Lectures in Mathematics book series.

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ISBN-13

ISBN-10

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2011 Dec

9781571462305

1571462309

Print

paperback

7” x 10”. With eight pages of color photographs.

In Print

US$85.00