Riemannian topology and geometric structures on manifolds : proceedings of the Conference on Riemannian Topology and Geometric Structures on Manifolds in honor of Charles P. Boyer's 65th birthday, October 10-14, 2006, The University of New Mexico, Albuquerque, New Mexico / Krzysztof Galicki, Santiago R. Simanca, editors.

Format:

Book

Conference/Event

Contributor:

Galicki, Krzysztof.

Simanca, S. R. (Santiago R.)

Boyer, Charles P.

Conference Name:

Conference on Riemannian Topology and Geometric Structures on Manifolds (2006 : University of New Mexico)

Series:

Progress in mathematics (Boston, Mass.) ; 271.

Progress in mathematics ; 271

Language:

English

Subjects (All):

Riemannian manifolds--Congresses.

Geometry, Riemannian--Congresses.

Sasakian manifolds--Congresses.

Boyer, Charles P--Congresses.

Sasakian manifolds.

Geometry, Riemannian.

Riemannian manifolds.

Genre:

Conference papers and proceedings.

Festschriften.

Physical Description:

xvii, 290 pages : illustrations ; 24 cm.

Place of Publication:

Boston [Mass.] : Birkhäuser, [2009]

Summary:

Riemannian Topology and Geometric Structures on Manifolds results from a similarly entitled conference held at the University of New Mexico in Albuquerque. The various contributions to this volume discuss recent advances in the areas of positive sectional curvature, Kahler and Sasaki geometry, and their interrelation to mathematical physics, notably M and superstring theory. Focusing on these fundamental ideas, this collection presents articles with original results, and plausible problems of interest for future research.

Contents:

L[superscript 2]-Cohomology of Spaces with Nonisolated Conical Singularities and Nonmultiplicativity of the Signature / Jeff Cheeger, Xianzhe Dai 1

Hirzebruch Surfaces and Weighted Projective Planes / Paul Gauduchon 25

Quaternionic Kahler Moduli Spaces / Nigel Hitchin 49

Homological Mirror Symmetry and Algebraic Cycles / Ludmil Katzarkov 63

Positive Sasakian Structures on 5-Manifolds / Janos Kollar 93

Four-Manifolds, Curvature Bounds, and Convex Geometry / Claude LeBrun 119

The 1-Nullity of Sasakian Manifolds / Philippe Rukimbira 153

New Results in Sasaki-Einstein Geometry / James Sparks 161

Some Examples of Toric Sasaki-Einstein Manifolds / Craig van Coevering 185

On the Geometry of Cohomogeneity One Manifolds with Positive Curvature / Wolfgang Ziller 233

The Sasaki Cone and Extremal Sasakian Metrics / Charles P. Boyer, Krzysztof Galicki, Santiago R. Simanca 263.

Notes:

"The articles in this volume originate either from lectures presented at the conference ... or from discussions directly surrounding the topics pertaining to this event"--P. ix.

Includes bibliographical references.

ISBN:

9780817647421

0817647422

OCLC:

227032620