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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…
math.DG2012★ 13 cited
Biharmonic submanifolds in a Riemannian manifold with non-positive curvature
Nobumitsu Nakauchi, Hajime Urakawa
We show that for an isometric immersion of a complete Riemannian manifold into a Riemannian manifold with non-positive curvature, the norm of the mean curvature vector field is squ…
math.DG2012★ 3 cited
Biharmonic maps into a Riemannian manifold of non-positive curvature
Nobumitsu Nakauchi, Hajime Urakawa, Sigmundur Gudmundsson
We study biharmonic maps between Riemannian manifolds with finite energy and finite bi-energy. We show that if the domain is complete and the target of non-positive curvature, then…