Fr. 198.00

Riemannian Topology and Geometric Structures on Manifolds

English · Hardback

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Description

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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.

List 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.

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, 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.

Product details

Assisted by Krzyszto Galicki (Editor), Krzysztof Galicki (Editor), R Simanca (Editor), R Simanca (Editor), Santiago R. Simanca (Editor)
Publisher Springer, Basel
 
Languages English
Product format Hardback
Released 23.02.2009
 
EAN 9780817647421
ISBN 978-0-8176-4742-1
No. of pages 290
Dimensions 161 mm x 20 mm x 242 mm
Weight 588 g
Illustrations XVI, 290 p. 50 illus.
Series Progress in Mathematics
Progress in Mathematics
Subject Natural sciences, medicine, IT, technology > Mathematics > Geometry

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