Say I sit at some point P in a Calabi-Yau manifold. Are there geodesics which start from P and return to P?(adsbygoogle = window.adsbygoogle || []).push({});

Are there "geodesics" which start from P and return to P but may make a "side trip first"?

Is the number of geodesics which start at P and end at P infinite or finite and does that number depend on where you are in the manifold?

Thanks for any help.

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# Are there geodesics for Calabi–Yau manifold?

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