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• W2952338448 abstract "We discuss upper and lower bounds for the size of gaps in the length spectrum of negatively curved manifolds. For manifolds with algebraic generators for the fundamental group, we establish the existence of exponential lower bounds for the gaps. On the other hand, we show that the existence of arbitrary small gaps is topologically generic: this is established both for surfaces of constant negative curvature (Theorem 3.1), and for the space of negatively curved metrics (Theorem 4.1). While arbitrary small gaps are topologically generic, it is plausible that the gaps are not too small for almost every metric. One result in this direction is presented in Section 5." @default.
• W2952338448 created "2019-06-27" @default.
• W2952338448 creator A5002765072 @default.
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• W2952338448 date "2016-02-15" @default.
• W2952338448 modified "2023-09-27" @default.
• W2952338448 title "On Small Gaps in the Length Spectrum" @default.
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• W2952338448 hasPublicationYear "2016" @default.
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