Geodesic
On Hb-recurrent Hyperbolic Kaehlerian Spaces
Publications de l'Institut Mathématique, _N_S_55 (1994) no. 69, p. 64

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

We consider a hyperbolic Kaehlerian space with recurrent HB-tensor. We obtain some geometrical characterization of such a space. Particularly, we prove that HB-recurrent hyperbolic Kaehlerian space cannot be non-trivially Ricci-recurrent. Also, we give an analogue of Olszak's lemma.
Classification : 53B55 53B60
Keywords: HB-tensor, Ricci tensor, isotropic vector field 
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     author = {Nevena Pu\v{s}i\'c},
     title = {On {Hb-recurrent} {Hyperbolic} {Kaehlerian} {Spaces}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {64 },
     publisher = {mathdoc},
     volume = {_N_S_55},
     number = {69},
     year = {1994},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1994_N_S_55_69_a8/}
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Nevena Pušić. On Hb-recurrent Hyperbolic Kaehlerian Spaces. Publications de l'Institut Mathématique, _N_S_55 (1994) no. 69, p. 64 . http://geodesic.mathdoc.fr/item/PIM_1994_N_S_55_69_a8/