C2 densely the 2-sphere has an elliptic closed geodesic

Details C2 densely the 2-sphere has an elliptic closed geodesic C2 densely the 2-sphere has an elliptic closed geodesic

2003-11-29

arxiv.org/abs/math/0312005v1

Mathematics

Differential Geometry

Scientific paper

We prove that a riemannian metric on the 2-sphere or the projective plane can
be C2-approximated by a smooth metric whose geodesic flow has an elliptic
closed geodesic.

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