EMIS ELibM Electronic Journals Publications de l'Institut Mathématique, Nouvelle Série
Vol. 94(108), pp. 111–124 (2013)

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ON RIEMANN AND WEYL COMPATIBLE TENSORS

Ryszard Deszcz, Malgorzata Glogowska, Jan Jelowicki, Miroslava Petrovic-Torgasev, Georges Zafindratafa

Department of Mathematics, Wroclaw University of Environmental and Life Sciences, Wroclaw, Poland; Department of Mathematics, Faculty of Science, University of Kragujevac, Kragujevac, Serbia; Laboratoire de Mathématiques et Applications de Valenciennes, Université de Valenciennes et du Hainaut-Cambrésis, Le Mont Houy, Lamath-ISTV2, Valenciennes cedex 9, France

Abstract: We investigate semi-Riemannian manifolds satisfying some curvature conditions. Those conditions are strongly related to pseudosymmetry.

Keywords: quasi-Einstein manifold, warped product, hypersurface, Chen ideal submanifold, Riemann compatible tensor, Tachibana tensor, pseudosymmetry type condition

Classification (MSC2000): 53B20, 53B25, 53B30, 53B50; 53C40, 53C50, 53C80

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Electronic fulltext finalized on: 8 Nov 2013. This page was last modified: 22 Nov 2013.

© 2013 Mathematical Institute of the Serbian Academy of Science and Arts
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