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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive
Izv. Vyssh. Uchebn. Zaved. Mat., 2009 Number 11, Pages 79–84 (Mi ivm4259)
This article is cited in 1 paper

Brief communications

Connectivities induced by the rolling of a ball on a surface

V. V. Cherkasova

Chair of Information Science, Oryol State University, Oryol, Russia

Abstract: 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.

UDC: 514.763

Received: 24.12.2008


 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2009, 53:11, 69–73

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© Steklov Math. Inst. of RAS, 2024