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On Automorphisms of Spaces of Nonpositive Curvature with Finite Volume

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Differential Geometry and Relativity

Part of the book series: Mathematical Physics and Applied Mathematics ((MPAM,volume 3))

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Abstract

The purpose of this paper is to show that the automorphism group of a space of nonpositive curvature with finite total volume is usually finite.

Partially supported by NSF Grant GP-42020X.

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References

  1. Bishop, R. and O’Neill, B., ‘Manifolds of Negative Curvature’, Trans. Amer. Math. Soc. 145 (1969), 1–49.

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Authors and Affiliations

  1. Conservatoire National des Arts et Métiers, Paris and University of California, Berkeley, USA

    Geneviève Avérous & Shoshichi Kobayashi

Authors
  1. Geneviève Avérous
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  2. Shoshichi Kobayashi
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Editor information

M. Cahen M. Flato

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© 1976 D. Reidel Publishing Company, Dordrecht, Holland

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Avérous, G., Kobayashi, S. (1976). On Automorphisms of Spaces of Nonpositive Curvature with Finite Volume. In: Cahen, M., Flato, M. (eds) Differential Geometry and Relativity. Mathematical Physics and Applied Mathematics, vol 3. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-1508-0_3

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  • DOI: https://doi.org/10.1007/978-94-010-1508-0_3

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-1510-3

  • Online ISBN: 978-94-010-1508-0

  • eBook Packages: Springer Book Archive

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