On a class of curvature preserving almost geodesic mappings of manifolds with affine connection
No Thumbnail Available
Files
Date
2011
Journal Title
Journal ISSN
Volume Title
Publisher
Fac. of Mechanical Engineering, Slovak University of Technology in Bratislava
Abstract
In this paper we pay attention to a particular case of almost geodesic mappings of the first type between (differentiable) manifolds with affine connection. We use here lassical tensor methods and the apparatus of partial differential equations. We prove that under the mappings under consideration, the invariant geometric object is just the (Riemannian) curvature tensor of the connection. We present the basic equations of the lass of mappings under consideration in an equivalent form of the Cauchy system in covariant derivatives.
Description
Keywords
almost geodesic mappings, invariant geometric object, mani- folds with affine connection
Citation
V. Berezovski, J. Mikeš, A. Vanžurová : On a class of curvature preserving almost geodesic mappings of manifolds with affine connection. Aplimat 2011, 10th International Conference, February 1-4, 2011, Fac. of Mechanical Engineering, Slovak University of Technology in Bratislava (2011), 623-628.