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From Curvature to Topology

  • Berger M
Springer Berlin Heidelberg, (2003), 543-635
DOI: 10.1007/978-3-642-18245-7_12
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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.

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APA

Berger, M. (2003). From Curvature to Topology. In A Panoramic View of Riemannian Geometry (pp. 543–635). Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-642-18245-7_12

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