Biharmonic hypersurfaces of the 4-dimensional semi-Euclidean space Es4

20Citations
Citations of this article
2Readers
Mendeley users who have this article in their library.
Get full text

Abstract

A submanifold Mrn of a semi-Euclidean space Esm is said to have harmonic mean curvature vector field if ΔH→ = 0→, where H→ denotes the mean curvature vector; submanifolds with harmonic mean curvature vector are also known as biharmonic submanifolds. In this paper, we prove that every nondegenerate hypersurface of Es4 the shape operator of which is diagonalizable, with harmonic mean curvature vector field, is minimal. © 2005 Elsevier Inc. All rigths reserved.

Cite

CITATION STYLE

APA

Defever, F., Kaimakamis, G., & Papantoniou, V. (2006). Biharmonic hypersurfaces of the 4-dimensional semi-Euclidean space Es4. Journal of Mathematical Analysis and Applications, 315(1), 276–286. https://doi.org/10.1016/j.jmaa.2005.05.049

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free