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arXiv · 2002.06579

Isolations of geodesic planes in the frame bundle of a hyperbolic $3$-manifold

Amir Mohammadi·Hee Oh
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Abstract

We present a quantitative isolation property of the lifts of properly immersed geodesic planes in the frame bundle of a geometrically finite hyperbolic $3$-manifold. Our estimates are polynomials in the tight areas and Bowen-Margulis-Sullivan densities of geodesic planes, with degree given by the modified critical exponents.

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Amir Mohammadi, Hee Oh. 2020-02-16. Isolations of geodesic planes in the frame bundle of a hyperbolic $3$-manifold. https://arxiv.org/abs/2002.06579

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