Geodesic
Connectivities induced by the rolling of a~ball on a~surface
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2009), pp. 79-84

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We consider the rolling of a ball on a surface and establish new connectivities induced by this rolling. We state and prove two theorems about the dependence of these connectivities on invariants of the intrinsic geometry of the surface.
Keywords: parallel shift, multiplicative integral, motion connectivity. 
@article{IVM_2009_11_a9,
     author = {V. V. Cherkasova},
     title = {Connectivities induced by the rolling of a~ball on a~surface},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {79--84},
     publisher = {mathdoc},
     number = {11},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2009_11_a9/}
}
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V. V. Cherkasova. Connectivities induced by the rolling of a~ball on a~surface. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2009), pp. 79-84. http://geodesic.mathdoc.fr/item/IVM_2009_11_a9/