TY - BOOK AU - Dearricott,Owen AU - Galaz-Garcia,Fernando AU - Kennard,Lee AU - Searle,Catherine AU - Weingart,Gregor AU - Ziller,Wolfgang AU - Herrera,Rafael AU - Hernandez-Lamoneda,Luis TI - Geometry of manifolds with non-negative sectional curvature T2 - Lecture notes in mathematics SN - 9783319063720 U1 - 516.36 23 PY - 2014/// CY - Switzerland PB - Springer KW - Manifolds (Mathematics) KW - Global analysis. KW - Global differential geometry KW - Cell aggregation -- Mathematics. N1 - This volume includes the lecture notes of the advanced mini-courses of "Recent Advances in the Geometry of Manifolds with Non-negative Sectional Curvature' held at the Centre for Research in Mathematics (CIMAT), Mexico during Dec 6 to 7 2010; Riemannian manifolds with positive sectional curvature -- An introduction to isometric group actions -- A note on maximal symmetry rank, quasipositive curvature and low dimensional manifolds -- Lectures on n-Sasakian manifolds -- On the Hopf conjecture with symmetry -- An Introduction to Exterior Differential Systems N2 - This book gives a detailed account of the most recent research in the area. The lectures cover a wide range of topics such as general isometric group actions, circle actions on positively curved four manifolds, cohomogeneity one actions on Alexandrov spaces, isometric torus actions on Riemannian manifolds of maximal symmetry rank, n-Sasakian manifolds, isoparametric hypersurfaces in spheres, contact CR and CR submanifolds, Riemannian submersions and the Hopf conjecture with symmetry. Also included is an introduction to the theory of exterior differential systems ER -