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Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.

1 vote

Geodesics on spheres are great circles

Here is a much simpler proof. We know that the great circles of a sphere $S^{2}$ are geodesics. Let $p$ and $q$ be two points on $S^{2}$. Now find a plane that contains the center of the sphere, $p$ a …
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