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.
Reihe
Sprache
Verlagsort
Verlagsgruppe
Illustrationen
50 s/w Abbildungen
XVI, 290 p. 50 illus.
Dateigröße
ISBN-13
978-0-8176-4743-8 (9780817647438)
DOI
10.1007/978-0-8176-4743-8
Schweitzer Klassifikation
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.
