Riemannian Topology and Geometric Structures on Manifolds

ISBN-13: 9780817647421 / Angielski / Twarda / 2008 / 290 str.

Krzysztof Galicki;Santiago R. Simanca

Opis

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. "

Spis treści

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.

Blurb

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.