Geometric interpretation of curvature tensors and pseudotensors of a space with a nonsymmetric affine connection.
Minc̀ić, Svetislav M. (1990)
Publications de l'Institut Mathématique. Nouvelle Série
Similarity:
Minc̀ić, Svetislav M. (1990)
Publications de l'Institut Mathématique. Nouvelle Série
Similarity:
Hrishikes Sen (1959)
Rendiconti del Seminario Matematico della Università di Padova
Similarity:
Minčić, Svetislav M., Velimirović, Ljubica S. (2008)
Novi Sad Journal of Mathematics
Similarity:
Minčić, Svetislav M. (1999)
Novi Sad Journal of Mathematics
Similarity:
S. M. Minčić (1976)
Matematički Vesnik
Similarity:
Ljubica S. Velimirović, Svetislav M. Minčić, Miomir Stanković (2002)
Matematički Vesnik
Similarity:
Svetislav M. Minčić (1975)
Publications de l'Institut Mathématique
Similarity:
Ranjan Kumar Garai (1971)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Similarity:
S. M. Minčić (1973)
Matematički Vesnik
Similarity:
Anna Gąsior (2010)
Annales UMCS, Mathematica
Similarity:
In this paper we present the horizontal lift of a symmetric affine connection with respect to another affine connection to the bundle of volume forms ν and give formulas for its curvature tensor, Ricci tensor and the scalar curvature. Next, we give some properties of the horizontally lifted vector fields and certain infinitesimal transformations. At the end, we consider some substructures of a F(3, 1)-structure on ν.
Mileva Prvanović (2011)
Kragujevac Journal of Mathematics
Similarity:
Alena Vanžurová, Petra Žáčková (2009)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
Similarity:
We contribute to the reverse of the Fundamental Theorem of Riemannian geometry: if a symmetric linear connection on a manifold is given, find non-degenerate metrics compatible with the connection (locally or globally) if there are any. The problem is not easy in general. For nowhere flat -manifolds, we formulate necessary and sufficient metrizability conditions. In the favourable case, we describe all compatible metrics in terms of the Ricci tensor. We propose an application in the...