C2 densely the 2-sphere has an elliptic closed geodesic
classification
🧮 math.DG
math.DS
keywords
geodesicclosedellipticmetricspherec2-approximateddenselyflow
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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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