Spectral flow and iteration of closed semi-Riemannian geodesics

2007/11/05 by Miguel Ángel Javaloyes, Miguel Angel Javaloyes, Paolo Piccione +2
Computer Science · Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Mathematical Dynamics and Fractals #Topological and Geometric Data Analysis #math.DG

paper · pdf · doi:10.48550/arxiv.0711.0635

LaTeX2e, 21 pages

openalex publication_date 2007/11/05 · arxiv created 2007/11/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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