Qualitative counting closed geodesics
نویسندگان
چکیده
منابع مشابه
Loop Products and Closed Geodesics
The critical points of the length function on the free loop space Λ(M) of a compact Riemannian manifold M are the closed geodesics on M. The length function gives a filtration of the homology of Λ(M) and we show that the Chas-Sullivan product Hi(Λ)×Hj(Λ) ∗ Hi+j−n(Λ) is compatible with this filtration. We obtain a very simple expression for the associated graded homology ring GrH∗(Λ(M)) when all...
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ژورنال
عنوان ژورنال: Geometriae Dedicata
سال: 2021
ISSN: 0046-5755,1572-9168
DOI: 10.1007/s10711-021-00595-1