Geodesic excursions into cusps in finite-volume hyperbolic manifolds.
Geodesic excursions into cusps in finite-volume hyperbolic manifolds.
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有限体积双曲流形中尖点的测地线偏移。
DOI：
10.1307/mmj/1029004675
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发表时间：
1993
影响因子：
0.9
通讯作者：
D. Pestana
中科院分区：
文献类型：
--
作者：
M. Melian;D. Pestana
在整个过程中，mtd + 1将是一个固定的、完全的、非紧致的、具有恒定负截面曲率和有限体积的黎曼流形。给定mt上的一个点p，用S(p)表示mt在p点的切空间的单位球，对每一个v E S(p)设Yv(t)为从p点向v方向发出的测地线。Sullivan在[S]中证明，对于几乎每一个方向v E S(p)，都有
o. Introduction Throughout, mtd + l will be a fixed, complete, noncompact Riemannian manifold of constant negative sectional curvature and finite volume. Given a point p on mt, we denote by S(p) the unit ball of the tangent space of mt at p, and for every v E S(p) let 'Yv(t) be the geodesic emanating from p in the direction v. In this paper, we study the long time behaviour of 'Yv{t). Sullivan proved in [S] that for almost every direction v E S(p), one has