Second order parallel tensor in real and complex space forms.
Sharma, Ramesh (1989)
International Journal of Mathematics and Mathematical Sciences
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Sharma, Ramesh (1989)
International Journal of Mathematics and Mathematical Sciences
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N. Bokan (1971)
Matematički Vesnik
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Katarzyna Sawicz (2006)
Publications de l'Institut Mathématique
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Katarzyna Sawicz (2005)
Banach Center Publications
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We investigate hypersurfaces M in spaces of constant curvature with some special minimal polynomial of the second fundamental tensor H of third degree. We present a curvature characterization of pseudosymmetry type for such hypersurfaces. We also prove that if such a hypersurface is a manifold with pseudosymmetric Weyl tensor then it must be pseudosymmetric.
Johan Deprez, Piet A. Verheyen, Leopold C. A. Verstraelen (1985)
Czechoslovak Mathematical Journal
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Bejancu, A., Duggal, K.L. (1993)
International Journal of Mathematics and Mathematical Sciences
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Katarzyna Sawicz (2004)
Colloquium Mathematicae
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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.
Dorić, M., Petrović-Torgašev, M., Verstraelen, L. (1988)
Publications de l'Institut Mathématique. Nouvelle Série
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Mirjana Đorić, Miroslava Petrović-Torgašev, L. Verstraelen (1988)
Publications de l'Institut Mathématique
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Abhitosh Upadhyay, Ram Shankar Gupta (2011)
Publications de l'Institut Mathématique
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