20 citations · 87 across the 22 of their papers we have counts for
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math.DG2014
CR rigidity of pseudo harmonic maps and pseudo biharmonic maps
Hajime Urakawa
The CR analogue of B.-Y. Chen's conjecture on pseudo biharmonic maps will be shown. Pseudo biharmonic, but not pseudo harmonic, isometric immersions with parallel pseudo mean curva…
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…