8 citations · 9 across the 3 of their papers we have counts for
3 papers
math.DG2014★ 8 cited
Biharmonic submanifolds in a Riemannian manifold
N. Koiso, H. Urakawa
In this paper, we solve affirmatively B.-Y. Chen's conjecture for hypersurfaces in the Euclidean space, under a generic condition. More precisely, every biharmonic hypersurface of…
math.DG2014★ 1 cited
The biharmonicity of sections of the tangent bundle
Michael Markellos, Hajime Urakawa
The bienergy of a vector field on a Riemannian manifold (M,g) is defined to be the bienergy of the corresponding map (M,g) ---> (TM,g_S), where the tangent bundle TM is equipped wi…
math.DG2012
Biharmonic Lagrangian submanifolds in Kähler manifolds
Shun Maeta, Hajime Urakawa
We give necessary and sufficient conditions for a Lagrangian submanifold of a Kähler manifold to be biharmonic. Furthermore, we classify biharmonic PNMC Lagrangian submanifolds in…