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arXiv · 1806.06764

Exponential gaps in the length spectrum

Emmanuel Schenck
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Abstract

We present a separation property for the gaps in the length spectrum of a compact Riemannian manifold with negative curvature. In arbitrary small neighborhoods of the metric for some suitable topology, we show that there are negatively curved metrics with a length spectrum exponentially separated from below. This property was previously known to be false generically.

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Emmanuel Schenck. 2018-06-18. Exponential gaps in the length spectrum. https://arxiv.org/abs/1806.06764

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