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Riemannian Manifolds with Positive Sectional Curvature

Part of the Lecture Notes in Mathematics book series (LNM,volume 2110)

Abstract

Of special interest in the history of Riemannian geometry have been manifolds with positive sectional curvature. In these notes we give a survey of this subject and recent developments.

Keywords

  • Sectional Curvature
  • Positive Curvature
  • Principal Bundle
  • Riemannian Submersion
  • Positive Scalar Curvature

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Notes

  1. 1.

    These are notes from a series of lectures given in Guanajuato, Mexico in 2010. The author was supported by a grant from the National Science Foundation and by the Mexican National Academy of Sciences.

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Ziller, W. (2014). Riemannian Manifolds with Positive Sectional Curvature. In: Geometry of Manifolds with Non-negative Sectional Curvature. Lecture Notes in Mathematics, vol 2110. Springer, Cham. https://doi.org/10.1007/978-3-319-06373-7_1

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