Publications de l'Institut Mathématique (Beograd)Vol. 72(86), pp. 95-106 (2002)
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Publications de l'Institut Mathématique (Beograd) Vol. 72(86), pp. 95-106 (2002) |
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SEMI-RIEMANNIAN MANIFOLDS WHOSE WEYL TENSOR IS A KULKARNI-NOMIZU SQUAREMa\l gorzata G\l ogowskaDepartment of Mathematics, Agricultural University of Wroc\l aw, Grunwaldzka 53, 50-357 Wroc\l aw, PolandAbstract: We investigate curvature properties of semi-Riemannian manifolds $(M,g)$, $n\ge 4$, whose Weyl curvature tensor $C$ can be expressed by a Kulkarni-Nomizu square of the tensor $S-\frac{\kappa}{n-1}g$. We investigate also the problem of isometric immersion of such manifolds into space forms. Keywords: semisymmetric manifold; essentially conformally symmetric manifold; hypersurface; almost Grassmann structure Classification (MSC2000): 53B20; 53B25; 53A40; 53A60; 53C25; 53C40 Full text of the article:
Electronic version published on: 23 Nov 2003. This page was last modified: 24 Nov 2003.
© 2003 Mathematical Institute of the Serbian Academy of Science and Arts
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