On some Hypersurfaces of a Recurrent Riemannian Space
Publications de l'Institut Mathématique, _N_S_47 (1990) no. 61, p. 103
Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
We consider quasiumbilical hypersurface of a recurrent
Riemannian space and find the conditions for such hypersurface to be
conformally recurrent. We prove (assuming some conditions) that the
curvatutre tensor of such hypersurface has the form (3.10) and discuss
the case when the hypersurface is conformally flat.
Classification :
53C20
@article{PIM_1990_N_S_47_61_a14,
author = {Mileva Prvanovi\'c},
title = {On some {Hypersurfaces} of a {Recurrent} {Riemannian} {Space}},
journal = {Publications de l'Institut Math\'ematique},
pages = {103 },
publisher = {mathdoc},
volume = {_N_S_47},
number = {61},
year = {1990},
language = {en},
url = {http://geodesic.mathdoc.fr/item/PIM_1990_N_S_47_61_a14/}
}
Mileva Prvanović. On some Hypersurfaces of a Recurrent Riemannian Space. Publications de l'Institut Mathématique, _N_S_47 (1990) no. 61, p. 103 . http://geodesic.mathdoc.fr/item/PIM_1990_N_S_47_61_a14/