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arXiv · 0711.0635

Spectral flow and iteration of closed semi-Riemannian geodesics

Miguel Angel Javaloyes·Paolo Piccione
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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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Miguel Angel Javaloyes, Paolo Piccione. 2007-11-06. Spectral flow and iteration of closed semi-Riemannian geodesics. https://arxiv.org/abs/0711.0635

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