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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2009 Number 7, Pages 65–70 (Mi ivm3045)

This article is cited in 1 paper

Brief communications

Dual affine-metrically connected spaces

T. G. Alenina

Chair of Geometry, Chuvash State Pedagogical University, Cheboksary, Russia

Abstract: In this paper we study the dual geometry of a normalized affinely connected space $\mathrm A_{n,n}$. In particular, we consider the dual affine-metrically connected spaces $\overset p{\mathrm M}_{n,n}$ induced by a nondegenerate normalization of the affine-metrically connected space $\mathrm M_{n,n}$.

Keywords: affine connection, affine-metrically connected space, space with absolute parallelism, nondegenerate normalization, harmonic normalization, polar normalization.

UDC: 514.764

Received: 03.03.2008


 English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2009, 53:7, 55–59

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