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A classiffication of biharmonic hypersurfaces in the Minkowski spaces of arbitrary dimension

Year 2016, Volume: 45 Issue: 4, 1125 - 1134, 01.08.2016

Abstract

In this paper we study hypersurfaces with the mean curvature function
H satisfying $\langle \nabla H, \nabla H\rangle $ in a Minkowski space of arbitrary dimen-
sion. First, we obtain some conditions satised by connection forms of
biconservative hypersurfaces with the mean curvature function whose
gradient is light-like. Then, we use these results to get a classication of
biharmonic hypersurfaces. In particular, we prove that if a hypersurface
is biharmonic, then it must have at least 6 distinct principal curvatures
under the hypothesis of having mean curvature function satisfying the
condition above.

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Year 2016, Volume: 45 Issue: 4, 1125 - 1134, 01.08.2016

Abstract

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There are 2 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Mathematics
Authors

Nurettin Cenk Turgay

Publication Date August 1, 2016
Published in Issue Year 2016 Volume: 45 Issue: 4

Cite

APA Turgay, N. C. (2016). A classiffication of biharmonic hypersurfaces in the Minkowski spaces of arbitrary dimension. Hacettepe Journal of Mathematics and Statistics, 45(4), 1125-1134.
AMA Turgay NC. A classiffication of biharmonic hypersurfaces in the Minkowski spaces of arbitrary dimension. Hacettepe Journal of Mathematics and Statistics. August 2016;45(4):1125-1134.
Chicago Turgay, Nurettin Cenk. “A Classiffication of Biharmonic Hypersurfaces in the Minkowski Spaces of Arbitrary Dimension”. Hacettepe Journal of Mathematics and Statistics 45, no. 4 (August 2016): 1125-34.
EndNote Turgay NC (August 1, 2016) A classiffication of biharmonic hypersurfaces in the Minkowski spaces of arbitrary dimension. Hacettepe Journal of Mathematics and Statistics 45 4 1125–1134.
IEEE N. C. Turgay, “A classiffication of biharmonic hypersurfaces in the Minkowski spaces of arbitrary dimension”, Hacettepe Journal of Mathematics and Statistics, vol. 45, no. 4, pp. 1125–1134, 2016.
ISNAD Turgay, Nurettin Cenk. “A Classiffication of Biharmonic Hypersurfaces in the Minkowski Spaces of Arbitrary Dimension”. Hacettepe Journal of Mathematics and Statistics 45/4 (August 2016), 1125-1134.
JAMA Turgay NC. A classiffication of biharmonic hypersurfaces in the Minkowski spaces of arbitrary dimension. Hacettepe Journal of Mathematics and Statistics. 2016;45:1125–1134.
MLA Turgay, Nurettin Cenk. “A Classiffication of Biharmonic Hypersurfaces in the Minkowski Spaces of Arbitrary Dimension”. Hacettepe Journal of Mathematics and Statistics, vol. 45, no. 4, 2016, pp. 1125-34.
Vancouver Turgay NC. A classiffication of biharmonic hypersurfaces in the Minkowski spaces of arbitrary dimension. Hacettepe Journal of Mathematics and Statistics. 2016;45(4):1125-34.