Geometry of the Katok examples

Geometry of the Katok examples
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DOI:
10.1017/s0143385700001851
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发表时间:
1983-03
影响因子:
0.9
通讯作者:
W. Ziller
W. Ziller
中科院分区:
数学2区
文献类型:
--
作者:
W. Ziller

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摘要我们考虑了Sn,Pn_n,Pn_n_n,和P_2Ca上的Finsler度量对称或不对称的例子,它们只有100多个闭合测地线或只有很少的短闭合测地线。在这些例子中的封闭测地线的数量和属性的封闭测地线被认为是。
Abstract We consider examples of Finsler metrics symmetric or not) on Sn, Pnℂ, Pnℍ, and P2Ca with only finitely many closed geodesies or with only few short closed geodesies. The number of closed geodesies in these examples and properties of the closed geodesies are considered.