Bibliographic Information

Riemannian topology and geometric structures on manifolds

Krzysztof Galicki, Santiago R. Simanca, [editors]

(Progress in mathematics, v. 271)

Birkhäuser, c2009

Other Title

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 Mexco, Albuquerque, New Mexico

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Other title from p. [v]

Includes bibliographical references

Description and Table of Contents

Description

Riemannian Topology and Structures on Manifolds results from a similarly entitled conference held on the occasion of Charles P. Boyer's 65th birthday. The various contributions to this volume discuss recent advances in the areas of positive sectional curvature, Kahler and Sasakian geometry, and their interrelation to mathematical physics, especially M and superstring theory. Focusing on these fundamental ideas, this collection presents review articles, original results, and open problems of interest.

Table of Contents

L 2-Cohomology of Spaces with Nonisolated Conical Singularities and Nonmultiplicativity of the Signature.- Hirzebruch Surfaces and Weighted Projective Planes.- Quaternionic Kahler Moduli Spaces.- Homological Mirror Symmetry and Algebraic Cycles.- Positive Sasakian Structures on 5-Manifolds.- Four-Manifolds, Curvature Bounds, and Convex Geometry.- The 1-Nullity of Sasakian Manifolds.- New Results in Sasaki-Einstein Geometry.- Some Examples of Toric Sasaki-Einstein Manifolds.- On the Geometry of Cohomogeneity One Manifolds with Positive Curvature.- The Sasaki Cone and Extremal Sasakian Metrics.

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