Spectral flow and iteration of closed semi-Riemannian geodesics

Details Spectral flow and iteration of closed semi-Riemannian geodesics Spectral flow and iteration of closed semi-Riemannian geodesics

2007-11-05

arxiv.org/abs/0711.0635v2

Mathematics

Differential Geometry

LaTeX2e, 21 pages

Scientific paper

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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