Beiträge zur Algebra und GeometrieContributions to Algebra and Geometry
Vol. 51, No. 1, pp. 1-7 (2010)
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Beiträge zur Algebra und Geometrie Contributions to Algebra and Geometry Vol. 51, No. 1, pp. 1-7 (2010) |
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Second Order Parallel Tensors on Generalized Sasakian Space Forms and Semi Parallel Hypersurfaces in Sasakian Space FormsFatiha Gherib and Mohamed BelkhelfaLaboratoire de Physique Quantique de la matière et de Modélisation Mathématique (LPQ3M), Université de Mascara, Algérie, e-mail: Fatiha_gherib@yahoo.fr, e-mail: belkhelfa@univ-mascara.dz or mohamed.belkhelfa@gmail.comAbstract: In this paper, we show that a second order parallel symmetric tensor in a generalized Sasakian space form is proportional to the metric tensor and we deduce that there is no semi parallel hypersurface in a Sasakian space form. Keywords: generalized Sasakian space forms, parallel tensor, semi parallel hypersurface Classification (MSC2000): 53D10, 53C25, 53C21 Full text of the article:
Electronic version published on: 27 Jan 2010. This page was last modified: 28 Jan 2013.
© 2010 Heldermann Verlag
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