论文标题

双曲线$ 3 $ manifold的框架束中的测地飞机隔离

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

论文作者

Mohammadi, Amir, Oh, Hee

论文摘要

我们提出了适当沉浸式地球飞机在几何有限的双曲线$ 3 $ manifold的框架捆绑包中的定量隔离属性。我们的估计是在狭窄区域的多项式和地球平面的Bowen-Margulis-Sullivan密度,并由改良的关键指数给出的程度。

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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