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Geometry of manifolds with non-negative sectional curvature / Owen Dearricott...[et al.].

By: Contributor(s): Material type: TextTextSeries: Lecture notes in mathematics ; 2110.Publication details: Switzerland : Springer, 2014.Description: vi, 196 pISBN:
  • 9783319063720
Subject(s): DDC classification:
  • 516.36 23 D285
Contents:
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.
Summary: 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.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 516.36 D285 (Browse shelf(Opens below)) Available 135838
Total holds: 0

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.

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.

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