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Spectral flow and iteration of closed semi-Riemannian geodesics

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Abstract

We introduce the notion of spectral flow along a periodic semi-Riemannian geodesic, as a suitable substitute of the Morse index in the Riemannian case. We study the growth of the spectral flow along a closed geodesic under iteration, determining its asymptotic behavior.

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Authors and Affiliations

  1. Departamento de Matemática, Universidade de São Paulo, Rua do Matão 1010, CEP 05508-900, São Paulo, SP, Brazil

    Miguel Angel Javaloyes & Paolo Piccione

Authors
  1. Miguel Angel Javaloyes
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  2. Paolo Piccione
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Corresponding author

Correspondence to Miguel Angel Javaloyes.

Additional information

M. A. J. is sponsored by Fapesp; P. P. is partially sponsored by CNPq.

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Javaloyes, M.A., Piccione, P. Spectral flow and iteration of closed semi-Riemannian geodesics. Calc. Var. 33, 439–462 (2008). https://doi.org/10.1007/s00526-008-0170-9

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  • DOI: https://doi.org/10.1007/s00526-008-0170-9

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