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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.

Geometry, Riemannian -- Congresses. --- Riemannian manifolds -- Congresses. --- Sasakian manifolds -- Congresses. --- Riemannian manifolds --- Geometry, Riemannian --- Sasakian manifolds --- Mathematics --- Geometry --- Physical Sciences & Mathematics --- Boyer, Charles P. --- Manifolds, Sasakian --- Riemann geometry --- Riemannian geometry --- Manifolds, Riemannian --- Riemannian space --- Space, Riemannian --- Mathematics. --- Algebraic geometry. --- Category theory (Mathematics). --- Homological algebra. --- Geometry. --- Differential geometry. --- Physics. --- Differential Geometry. --- Category Theory, Homological Algebra. --- Algebraic Geometry. --- Mathematical Methods in Physics. --- Geometry, Differential --- Manifolds (Mathematics) --- Generalized spaces --- Geometry, Non-Euclidean --- Semi-Riemannian geometry --- Global differential geometry. --- Algebra. --- Geometry, algebraic. --- Mathematical physics. --- Physical mathematics --- Physics --- Algebraic geometry --- Mathematical analysis --- Euclid's Elements --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Homological algebra --- Algebra, Abstract --- Homology theory --- Category theory (Mathematics) --- Algebra, Homological --- Algebra, Universal --- Group theory --- Logic, Symbolic and mathematical --- Topology --- Functor theory --- Differential geometry