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We investigate hypersurfaces M in semi-Riemannian spaces of constant curvature satisfying some Ricci-type equations and for which the tensor H³ is a linear combination of the tensor H², the second fundamental tensor H of M and the metric tensor g of M.
Katarzyna Sawicz. "Hypersurfaces in spaces of constant curvature satisfying some Ricci-type equations." Colloquium Mathematicae 101.2 (2004): 183-201. <http://eudml.org/doc/284212>.
@article{KatarzynaSawicz2004, abstract = {We investigate hypersurfaces M in semi-Riemannian spaces of constant curvature satisfying some Ricci-type equations and for which the tensor H³ is a linear combination of the tensor H², the second fundamental tensor H of M and the metric tensor g of M.}, author = {Katarzyna Sawicz}, journal = {Colloquium Mathematicae}, keywords = {Ricci-type equation; pseudo-symmetric; curvature condition}, language = {eng}, number = {2}, pages = {183-201}, title = {Hypersurfaces in spaces of constant curvature satisfying some Ricci-type equations}, url = {http://eudml.org/doc/284212}, volume = {101}, year = {2004}, }
TY - JOUR AU - Katarzyna Sawicz TI - Hypersurfaces in spaces of constant curvature satisfying some Ricci-type equations JO - Colloquium Mathematicae PY - 2004 VL - 101 IS - 2 SP - 183 EP - 201 AB - We investigate hypersurfaces M in semi-Riemannian spaces of constant curvature satisfying some Ricci-type equations and for which the tensor H³ is a linear combination of the tensor H², the second fundamental tensor H of M and the metric tensor g of M. LA - eng KW - Ricci-type equation; pseudo-symmetric; curvature condition UR - http://eudml.org/doc/284212 ER -