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L 2-torsion of hyperbolic manifolds

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Abstract:

We show that the L 2-torsion of odd dimensional hyperbolic manifolds, which is proportional to the volume, is non-zero. This proves a conjecture of Lott.

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Authors and Affiliations

  1. Fachbereich Mathematik, Universität Mainz, D-55099 Mainz, Germany.¶e-mail: hess@topologie.mathematik.uni-mainz.de, , , , , , DE

    Eckehard Hess

  2. Fachbereich Mathematik, Universität Münster, Einsteinstr. 62,¶D-48149 Münster, Germany. e-mail: thomas.schick@math.uni-muenster.de, , , , , , DE

    Thomas Schick

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  1. Eckehard Hess
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  2. Thomas Schick
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Received: 27 March 1998

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Hess, E., Schick, T. L 2-torsion of hyperbolic manifolds. manuscripta math. 97, 329–334 (1998). https://doi.org/10.1007/s002290050105

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  • DOI: https://doi.org/10.1007/s002290050105

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