TY - BOOK AU - Galicki,Krzysztof AU - Simanca,Santiago R. ED - SpringerLink (Online service) TI - Riemannian Topology and Geometric Structures on Manifolds T2 - Progress in Mathematics, SN - 9780817647438 AV - QA641-670 U1 - 516.36 23 PY - 2009/// CY - Boston, MA PB - Birkhäuser Boston KW - Global differential geometry KW - Geometry KW - Algebra KW - Geometry, algebraic KW - Mathematical physics KW - Differential Geometry KW - Category Theory, Homological Algebra KW - Algebraic Geometry KW - Mathematical Methods in Physics N1 - 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 N2 - 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 UR - https://doi.org/10.1007/978-0-8176-4743-8 ER -