V. E. Berezovski, J. Mikeš, “Almost Geodesic Mappings of Type <nobr>$\pi_1$</nobr> onto Generalized Ricci-symmetric Spaces”, Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 2009, Volume 151, Book 4,Pages <nobr>9

This article is cited in 8 papers

Almost Geodesic Mappings of Type $\pi_1$ onto Generalized Ricci-symmetric Spaces

V. E. Berezovski^a, J. Mikeš^b

^a Uman State Agrarian University, Uman, Ukraine
^b Palacký University Olomouc, Olomouc, Czech Republic

Abstract: We deduce necessary and sufficient conditions in order that a manifold with linear connection admit an almost geodesic mapping of type $\pi_1$ in the sense of N. S. Sinyukov onto a generalized Ricci-symmetric manifold.

Keywords: almost geodesic mapping of type $\pi_1$, generalized Ricci-symmetric manifold, affinely connected space.

UDC: 513.7

Received: 19.08.2009