3 papers
math.DG2014
Legendre surfaces with harmonic mean curvature vector field in the unit 5-sphere
Toru Sasahara
We obtain the explicit representation of Legendre surfaces in the unit -sphere with harmonic mean curvature vector field, under the condition that the mean curvature function is…
math.DG2014
Surfaces in Euclidean 3-space whose normal bundles are tangentially biharmonic
Toru Sasahara
A submanifold is said to be tangentially biharmonic if the bitension field of the isometric immersion that defines the submanifold has vanishing tangential component. The purpose o…
math.DG2014
Quasi-biharmonic Lagrangian surfaces in Lorentzian complex space forms
Toru Sasahara
In this paper, we introduce the notion of a quasi-biharmonic submanifold in a pseudo-Riemannian manifold and classify quasi-biharmonic marginally trapped Lagrangian surfaces in Lor…