3 citations · 4 across the 14 of their papers we have counts for
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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…
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…
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…
Tangentially biharmonic Lagrangian H-umbilical submanifolds in complex space forms
Toru Sasahara
The notion of Lagrangian -umbilical submanifolds was introduced by B. Y. Chen in 1997, and these submanifolds have appeared in several important problems in the study of Lagrang…