Some characteristics of curvature tensors of nonsymmetric affine connexion.
Minčić, Svetislav M. (1999)
Novi Sad Journal of Mathematics
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Minčić, Svetislav M. (1999)
Novi Sad Journal of Mathematics
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S. M. Minčić (1976)
Matematički Vesnik
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Ranjan Kumar Garai (1971)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Hrishikes Sen (1959)
Rendiconti del Seminario Matematico della Università di Padova
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Ljubica S. Velimirović, Svetislav M. Minčić, Miomir Stanković (2002)
Matematički Vesnik
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F. Milán, A. Martínez (1992)
Manuscripta mathematica
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Svetislav M. Minčić (2013)
Publications de l'Institut Mathématique
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A.J. Tromba (1986)
Manuscripta mathematica
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Oldřich Kowalski, Barbara Opozda, Zdeněk Vlášek (1999)
Colloquium Mathematicae
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Curvature homogeneity of (torsion-free) affine connections on manifolds is an adaptation of a concept introduced by I. M. Singer. We analyze completely the relationship between curvature homogeneity of higher order and local homogeneity on two-dimensional manifolds.
Mileva Prvanović (2011)
Kragujevac Journal of Mathematics
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Minčić, Svetislav M., Velimirović, Ljubica S. (2008)
Novi Sad Journal of Mathematics
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Anna Gąsior (2010)
Annales UMCS, Mathematica
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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.