Spectral flow and iteration of closed semi-Riemannian geodesics
classification
🧮 math.DG
keywords
flowspectralalongclosedgeodesiciterationsemi-riemannianasymptotic
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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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