Curvature tensors of the space of non-symmetric affine connexion, obtained from the curvature pseudotensors
S. M. Minčić (1976)
Matematički Vesnik
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S. M. Minčić (1976)
Matematički Vesnik
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N. Bokan (1985)
Matematički Vesnik
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Oldřich Kowalski, Friedbert Prüfer (1994)
Archivum Mathematicum
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A six-parameter family is constructed of (algebraic) Riemannian curvature tensors in dimension four which do not belong to any curvature homogeneous space. Also a general method is given for a possible extension of this result.
Minc̀ić, Svetislav M. (1990)
Publications de l'Institut Mathématique. Nouvelle Série
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Minčić, Svetislav M. (1999)
Novi Sad Journal of Mathematics
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Jean-Pierre Bourguignon, Hermann Karcher (1978)
Annales scientifiques de l'École Normale Supérieure
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Marenich, V., Guadalupe, I.V. (1997)
Portugaliae 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.