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- W2000961578 abstract "Suppose $M=mathbb {B}/G$ is a hyperbolic manifold. Consider the set of escaping geodesic rays $gamma (t)$ originating at a fixed point $p$ of the manifold $M$, i.e. $operatorname {dist}(gamma (t),p)to infty$. We investigate those escaping geodesics which escape at the fastest possible rate, and find the Hausdorff dimension of the corresponding terminal points on the boundary of $mathbb {B}$. In dimension $2$, for a geometrically infinite Fuchsian group, if the injectivity radius of $M=mathbb {B}/G$ is bounded above and away from zero, then these points have full dimension. In dimension $3$, when $G$ is a geometrically infinite and topologically tame Kleinian group, if the injectivity radius of $M=mathbb {B}/G$ is bounded away from zero, the dimension of these points is $2$, which is again maximal." @default.
- W2000961578 created "2016-06-24" @default.
- W2000961578 creator A5077532324 @default.
- W2000961578 date "2008-05-22" @default.
- W2000961578 modified "2023-09-23" @default.
- W2000961578 title "Dimension of escaping geodesics" @default.
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- W2000961578 doi "https://doi.org/10.1090/s0002-9947-08-04513-3" @default.
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