Geodesic mappings of equiaffine and anti-equiaffine general affine connection spaces preserving torsion | Zendy

Mića S. Stanković | Zendy; Marija S. Ćirić | Zendy; Milan Lj. Zlatanović | Zendy

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Geodesic mappings of equiaffine and anti-equiaffine general affine connection spaces preserving torsion

Author(s) -

Mića S. Stanković,

Marija S. Ćirić,

Milan Lj. Zlatanović

Publication year - 2012

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1203439s

Subject(s) - mathematics , geodesic , affine connection , affine transformation , geodesic map , pure mathematics , invariant (physics) , connection (principal bundle) , torsion (gastropod) , mathematical analysis , geometry , mathematical physics , medicine , surgery

In this paper we consider equitorsion geodesic mappings of equiaffine spaces of the -kind, ∈ {0;:::;5}. Inthecasewhen ∈ {0;5},vector i,whichdeterminesthatmapping,isgradient,whichdoesn't hold in general case. We found the condition when the vector i is gradient in the case of ∈ {1;:::;4}. Some invariant geometric objects of such mappings are found. Anti-equiaffine spaces of -kind, ∈ {0;:::;5} are introduced and discussed. Equitorsion geodesic mappings of such spaces are described and some invariants are found. 1. Motivation

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