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A Short Survey on Curvature and Topology

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Abstract

We have now covered half of the chapters of the present textbook and the more elementary aspects of the subject. Before penetrating into more advanced topics, a short survey on some directions of global Riemannian geometry may be a useful orientation guide. Because of the size and scope of the present book, this survey needs to be selective.

Keywords

  • Riemannian Manifold
  • Sectional Curvature
  • Ricci Curvature
  • Homotopy Group
  • Short Survey

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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  • DOI: 10.1007/978-3-642-21298-7_6
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Correspondence to Jürgen Jost .

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© 2011 Springer-Verlag Berlin Heidelberg

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Jost, J. (2011). A Short Survey on Curvature and Topology. In: Riemannian Geometry and Geometric Analysis. Universitext. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21298-7_6

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