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Smooth manifolds and smooth functions between them. For manifolds with additional structure, see more specific tags, such as [riemannian-geometry]. For more topological aspects, see [differential-topology].

1 vote

Geodesics on a twisted torus

If the twisting angle is some rational number of full $2\pi$ twists, say $\frac pq$ revolutions, $p,q\in\bf \mathbb{Z}\space\backslash \left\{0\right\}$, then your equator ends will reconnect together …
Georgi Marinov's user avatar