Please use this identifier to cite or link to this item: http://lib.udau.edu.ua/handle/123456789/1807
Title: Canonical almost geodesic mappings of type π1 onto pseudo-Riemannian manifolds
Authors: Березовський, Володимир Євгенійович
Berezovskii, V. E.
Keywords: linear connection; affine manifold
pseudo-Riemannian space
geodesic curve
almost geodesic curve
geodesic mapping
almost geodesic mapping
deformation tensor
Issue Date: 2008
Publisher: Hackensack, NJ: World Scientific
Citation: Berezovski, V.E.; Mikeš, J.; Vanžurová, A. Canonical almost geodesic mappings of type π1 onto pseudo-Riemannian manifolds. Kowalski, Oldřich (ed.) et al., Differential geometry and its applications. Proceedings of the 10th international conference on differential geometry and its applications, DGA 2007, Olomouc, Czech Republic, August 27–31, 2007. Hackensack, NJ: World Scientific. 65-75 (2008).
Abstract: In this paper, the authors study properties of canonical almost geodesic mappings of type π˜1 onto pseudo-Riemannian manifolds. They find necessary and sufficient conditions for existence of the canonical almost geodesic mappings of type π˜1 of a manifold endowed with a linear connection onto pseudo-Riemannian manifolds. The conditions are described by means of a closed system of partial differential equations of first order of Cauchy type.
URI: http://lib.udau.edu.ua/handle/123456789/1807
ISBN: 978-981-279-060-6/hbk
Appears in Collections:Наукові матеріали кафедри

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