Canonical almost geodesic mappings of type π1 onto pseudo-Riemannian manifolds
Canonical almost geodesic mappings of type π1 onto pseudo-Riemannian manifolds
Немає доступних мініатюр
Дата
2008
Автори
Березовський, Володимир Євгенійович
Berezovskii, V. E.
Назва журналу
ISSN журналу
Назва тома
Видавець
Hackensack, NJ: World Scientific
Інструкція
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.
Опис
Ключові слова
linear connection; affine manifold,
pseudo-Riemannian space,
geodesic curve,
almost geodesic curve,
geodesic mapping,
almost geodesic mapping,
deformation tensor
Бібліографічний опис
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).