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On 2-Quasi-Umbilical Pseudosymmetric Hypersurfaces in the Euclidean Space

Özgür, C., (2007) On 2-Quasi-Umbilical Pseudosymmetric Hypersurfaces in the Euclidean Space. Bulletin of the Malaysian Mathematical Sciences Society, 30 (1). pp. 37-42. ISSN 0126-6705

Full text not available from this repository.

Official URL: http://math.usm.my/bulletin/pdf/v30n1/v30n1p4.pdf

Affiliations

Balikesir University, Faculty of Arts and Sciences, Dept. of Mathematics

Abstract

In this paper, we investigate 2-quasi-umbilical pseudosymmetric hypersurfaces in the Euclidean space $\mathbf{E}^{n+1}$. We find the curvature characterization of pseudosymmetric hypersurfaces in the Euclidean space $\mathbf{E}^{n+1}$.

2000 Mathematics Subject Classification: 53C40, 53C42, 53C25, 53B50.

Item Type:Journal
Keywords:Hypersurface, pseudosymmetry type manifolds.
Subjects:Q Science, Computer Science
ID Code:1363

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[5] R. Deszcz, L. Verstraelen and S. Yaprak, On 2-quasi-umbilical bypersurfaces in conformally flat spaces, Acta Math. Hungar. 78(1—2)(1998), 45-57.

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[7] F. Dillen, M. Petrovic and L. Verstraelen, Einstein, conformally flat and semi-symmetric sub- manifolds satisfying Chen’s equality, Israel J. Math. 100(1997), 163-169.

[8] C. Özgür, Submanifolds satisfying some curvature conditions imposed on the Weyl tensor, Bull. Austral. Math. Soc. 67(1)(2003), 95-101.

[9] Özgür, C. and K. Arslan, On some class of hypersurfaces in E^n+1 satisfying Chen’s equality, Turkish J. Math. 26(3)(2002), 283—293.

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