Bumpy metrics, closed geodesics, and minimal index growth

speaker: Hans-Bert Rademacher (University of Leipzig)

abstract: In this talk we discuss existence results for closed geodesics on a compact manifold endowed with a bumpy non-reversible Finsler metric.

We present a simplified proof for the existence of a second closed geodesic on a sphere of dimension n. Earlier proofs were given independently by Duan and Long and the author. If we we assume that there is only one closed geodesic one can show that some iterate is of minimal index growth. But this leads immediately to a contradiction as pointed out by Goresky and Hingston.

timetable:
Mon 21 May, 15:40 - 16:30, Aula Dini
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