English

Spectral flow and iteration of closed semi-Riemannian geodesics

Differential Geometry 2007-11-06 v2

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.

Keywords

Cite

@article{arxiv.0711.0635,
  title  = {Spectral flow and iteration of closed semi-Riemannian geodesics},
  author = {Miguel Angel Javaloyes and Paolo Piccione},
  journal= {arXiv preprint arXiv:0711.0635},
  year   = {2007}
}

Comments

LaTeX2e, 21 pages