Isometry-invariant geodesics and the fundamental group
نویسندگان
چکیده
منابع مشابه
Isometry-invariant geodesics and the fundamental group
We prove that on closed Riemannian manifolds with infinite abelian, but not cyclic, fundamental group, any isometry that is homotopic to the identity possesses infinitely many invariant geodesics. We conjecture that the result remains true if the fundamental group is infinite cyclic. We also formulate a generalization of the isometry-invariant geodesics problem, and a generalization of the cele...
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ژورنال
عنوان ژورنال: Mathematische Annalen
سال: 2014
ISSN: 0025-5831,1432-1807
DOI: 10.1007/s00208-014-1113-8