Overview

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, Kähler 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. Contributors: C.P. Boyer, J. Cheeger, X. Dai, K. Galicki, P. Gauduchon, N. Hitchin, L. Katzarkov, J. Kollár, C. LeBrun, P. Rukimbira, S.R. Simanca, J. Sparks, C. van Coevering, and W. Ziller.

Full Product Details

Author:   Krzysztof Galicki ,  Santiago R. Simanca
Publisher:   Birkhauser Boston Inc
Imprint:   Birkhauser Boston Inc
Edition:   2009 ed.
Volume:   271
Dimensions:   Width: 15.50cm , Height: 1.90cm , Length: 23.50cm
Weight:   0.635kg
ISBN:  

9780817647421

ISBN 10:   0817647422
Pages:   290
Publication Date:   11 November 2008
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

L 2-Cohomology of Spaces with Nonisolated Conical Singularities and Nonmultiplicativity of the Signature.- Hirzebruch Surfaces and Weighted Projective Planes.- Quaternionic Kähler 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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