J4 ›› 2010, Vol. 45 ›› Issue (4): 39-42.
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LI Na, LI Chang-jun*
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The relationships between the length of the axes of a loxodromic element and the existence of a precisely invariant tube about the axis are studied. The volume of the embedded collar about a geodesic is obtained. Finally, the lower bound of the minimum distance between two distinct, short, simple, closed geodesics in a complex hyperbolic 2-manifold is given.
Key words: geodesic; collars; tube
LI Na, LI Chang-jun*. A note on the collars in complex hyperbolic manifolds[J].J4, 2010, 45(4): 39-42.
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http://lxbwk.njournal.sdu.edu.cn/EN/Y2010/V45/I4/39
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