Canonical almost geodesic mappings of type π1 onto pseudo-Riemannian manifolds
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Date
2008
Journal Title
Journal ISSN
Volume Title
Publisher
Hackensack, NJ: World Scientific
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.
Description
Keywords
linear connection; affine manifold, pseudo-Riemannian space, geodesic curve, almost geodesic curve, geodesic mapping, almost geodesic mapping, deformation tensor
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).