Abstract
We consider the rolling of a ball on a surface and establish new connections induced by this rolling. We state and prove two theorems about the dependence of these connections on invariants of the intrinsic geometry of the surface.
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Original Russian Text © V.V. Cherkasova, 2009, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2009, No. 11, pp. 79–84.
Submitted by A.V. Aminova
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Cherkasova, V.V. Connections induced by the rolling of a ball on a surface. Russ Math. 53, 69–73 (2009). https://doi.org/10.3103/S1066369X09110103
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DOI: https://doi.org/10.3103/S1066369X09110103