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VOL. 9 | 2008 Integral Submanifolds in Three-Sasakian Manifolds Whose Mean Curvature Vector Fields are Eigenvectors of the Laplace Operator

Abstract

We find the Legendre curves and a class of integral surfaces in a 7-dimensional three-Sasakian manifold whose mean curvature vectors are eigenvectors of the Laplacian or the normal Laplacian and we give the ex- plicit expression for such surfaces in the sphere $\mathbb{S}^{7}$.

Information

Published: 1 January 2008
First available in Project Euclid: 13 July 2015

zbMATH: 1192.53050
MathSciNet: MR2436273

Digital Object Identifier: 10.7546/giq-9-2008-210-223

Rights: Copyright © 2008 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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