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From Curvature to Topology

In: A Panoramic View of Riemannian Geometry

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  • Marcel Berger

    (Institut des Hautes Études Scientifiques IHES)

Abstract

We have frequently encountered relations between curvature and topology. Among others we can mention the Gauss—Bonnet—Blaschke theorem 28, the von Mangoldt—Hadamard—Cartan theorem 72, Myers’ theorem 63, and Synge’s theorem 64. The topic of curvature and topology has been for some time the most popular and highly developed topic in Riemannian geometry.

Suggested Citation

  • Marcel Berger, 2003. "From Curvature to Topology," Springer Books, in: A Panoramic View of Riemannian Geometry, chapter 12, pages 543-635, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-18245-7_12
    DOI: 10.1007/978-3-642-18245-7_12
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