C2 densely the 2-sphere has an elliptic closed geodesic
C2 densely the 2-sphere has an elliptic closed geodesic
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C2 密集的 2-球体具有椭圆封闭测地线
DOI：
10.1017/s0143385704000422
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发表时间：
2003
影响因子：
0.9
通讯作者：
F. Oliveira
中科院分区：
文献类型：
--
作者：
G. Contreras;F. Oliveira
证明了2-球面或射影平面上的黎曼度量可以用测地线流具有椭圆闭测地线的度量C^\infty$来C2逼近。
We prove that a Riemannian metric on the 2-sphere or the projective plane can be C2 approximated by a $C^\infty$ metric whose geodesic flow has an elliptic closed geodesic.