International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 22, Pages 3575-3586
doi:10.1155/IJMMS.2005.3575
Biharmonic submanifolds in 3-dimensional (κ,μ)-manifolds
K. Arslan1
, R. Ezentas1
, C. Murathan1
and T. Sasahara4
1Department of Mathematics, Faculty of Science, Uludag University, Bursa 16059, Turkey
4Department of Mathematics, Faculty of Science, Hokkaido University, Sappro 060-0810, Japan
Abstract
Biharmonic maps between Riemannian manifolds are defined as critical points of the bienergy and generalized harmonic maps. In this paper, we give necessary and sufficient conditions for nonharmonic Legendre curves and anti-invariant surfaces of 3-dimensional (κ,μ)-manifolds to be biharmonic.