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- W4288992605 abstract "We prove an upper bound for the number of shortest closed geodesics in a closed hyperbolic manifold of any dimension in terms of its volume and systole, generalizing a theorem of Parlier for surfaces. We also obtain bounds on the number of primitive closed geodesics with length in a given interval that are uniform for all closed hyperbolic manifolds with bounded geometry. The proofs rely on the Selberg trace formula." @default.
- W4288992605 created "2022-07-31" @default.
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- W4288992605 date "2019-05-27" @default.
- W4288992605 modified "2023-10-18" @default.
- W4288992605 title "Kissing numbers of closed hyperbolic manifolds" @default.
- W4288992605 doi "https://doi.org/10.48550/arxiv.1905.11083" @default.
- W4288992605 hasPublicationYear "2019" @default.
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