creators_name: Özgür, C.,  
creators_id: cozgur@balikeir.edu.tr
type: article
datestamp: 2007-12-06 05:39:51
lastmod: 2008-08-16 01:38:07
metadata_visibility: show
corp_creators: Balikesir University, Faculty of Arts and Sciences, Dept. of Mathematics
title: On 2-Quasi-Umbilical Pseudosymmetric Hypersurfaces in the Euclidean Space
ispublished: pub
subjects: Q
full_text_status: none
keywords: Hypersurface, pseudosymmetry type manifolds.

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.
date: 2007
date_type: published
publication: Bulletin of the Malaysian Mathematical Sciences Society
volume: 30
number: 1
publisher: Penerbit Universiti Sains Malaysia
pagerange: 37-42
refereed: TRUE
issn: 0126-6705
official_url: http://math.usm.my/bulletin/pdf/v30n1/v30n1p4.pdf
related_url_url: http://math.usm.my/bulletin/html/vol30_1_4.htm
referencetext: [1] K. Arslan, R. Deszcz and S. Yaprak, On Weyl pseodosymmetric hypcrsurfaces, Colloq. Math. 72(2)(1997), 353-361.

[2] B. Chen, Geometry of Submanifolds and its Applications, Sci. Univ. Tokyo, Tokyo, 1981.

[3] R. Deszcz, On pseudosymmetric spaces, Bull. Soc. Math. Belg. Ser. A 44(1)(1992), 1-34.

[4] R. Deszcz, L. Verstraelen and S. Yaprak, On hypersurfaces with pseudosymmetric Weyl tensor, in Geometry and topology of submanifolds, VIII (Brussels, 1995/Nordfjordeid, 1995), 111-120, World Sci. Publ., River Edge, NJ.

[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.

[6] R. Deszcz, L. Verstraelen and S. Yaprak, Hypersurfaces with pseudosymmetric Weyl tensor in conformally flat manifolds, in Geometry and topology of submanifolds, IX (Velenciennes/Lyon/Leuven, 1997), 108—117, World Sci. Publ., River Edge, NJ.

[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.
citation: 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