On special almost geodesic mappings of type π1 of spaces with affine connection
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Date
2004
Journal Title
Journal ISSN
Volume Title
Publisher
Palacký University Olomouc
Abstract
A diffeomorphism f: A n →(A¯n) of two affine spaces is called a special almost geodesic mapping if
(a) Every geodesic of An passes into an almost geodesic curve of (A¯n) .
(b) (Pij h,k)+(Pij a)(Pak h)=aij(δk h) , where (Pij h) is the difference of the two respective connection coefficients and aij is a symmetric tensor.
In this paper, the authors discuss some tensorial properties of special almost geodesic mappings.
Description
Keywords
almost geodesic mappings, affine connection space
Citation
Berezovsky, Vladimir; Mikeš, Josef. On special almost geodesic mappings of type π1 of spaces with affine connection. Acta Univ. Palacki. Olomuc., Fac. Rerum Nat., Math. 43, 21-26 (2004)