3 citations · 4 across the 14 of their papers we have counts for
17 papers · 1 filter
Hamiltonian stationary Lagrangian surfaces of constant Gaussian curvature in complex space forms
Toru Sasahara
Let be a connected Hamiltonian stationary Lagrangian surface of constant Gaussian curvature in a two-dimensional complex space form $\Mtilde^2(4ε)$ of constant holomorphic…
Biharmonic Lagrangian -umbilical submanifolds in complex space forms
Toru Sasahara
We give a complete classification of proper biharmonic Lagrangian -umbilical submanifolds in complex space forms. Such submanifolds exist only in complex projective space and ar…
Hamiltonian stationary Lagrangian surfaces with harmonic mean curvature in complex space forms
Toru Sasahara
In this paper, we study Hamiltonian stationary Lagrangian surfaces in complex space forms. We first show that when the mean curvature is a non-zero constant, the second fundamental…
Surfaces in Euclidean 3-space with Maslovian normal bundles
Toru Sasahara
We prove that a surface in Euclidean -space has Maslovian normal bundle if and only if it is a part of a round sphere, a circular cylinder, or a circular cone.
Special slant surfaces with non-constant mean curvature in 2-dimensional complex space forms
Toru Sasahara
In the late 1990s, B. Y. Chen introduced the notion of special slant surfaces in Kähler surfaces and classified non-minimal proper special slant surfaces with constant mean curvatu…
Real hypersurfaces in the complex projective plane satisfying an equality involving
Toru Sasahara
It was proved in Chen's paper \cite{chen} that every real hypersurface in the complex projective plane of constant holomorphic sectional curvature satisfies $$ δ(2)\leq \frac{9…
Real hypersurfaces in complex space forms attaining equality in an inequality involving a contact -invariant
Toru Sasahara
We investigate real hypersurfaces in complex space forms attaining equality in an inequality involving the contact -invariant introduced by Chen and Mihai in [3].
Classification theorems for biharmonic real hypersurfaces in a complex projective space
Toru Sasahara
First, we classify proper biharmonic Hopf real hypersurfaces in . Next, we classify proper biharmonic real hypersurfaces with two distinct principal curvatures in $\…
Ricci curvature of real hypersurfaces in non-flat complex space forms
Toru Sasahara
We establish an inequality among the Ricci curvature, the squared mean curvature, and the normal curvature for real hypersurfaces in complex space forms. We classify real hypersurf…
Real hypersurfaces in the complex projective plane attaining equality in a basic inequality
Toru Sasahara
We determine non-Hopf hypersurfaces with constant mean curvature in the complex projective plane which attain equality in a basic inequality between the maximum Ricci curvature and…
Biharmonic C-parallel Legendrian submanifolds in 7-dimensional Sasakian space forms
Toru Sasahara
In [5], D. Fetcu and C. Oniciuc presented the classification result for biharmonic -parallel Legendrian submanifolds in -dimensional Sasakian space forms. However,…
A short note on biharmonic submanifolds in non-Sasakian contact metric 3-manifolds
Toru Sasahara
We characterize biharmonic anti-invariant surfaces in -dimensional generalized -manifolds with non-zero constant mean curvature by means of the scalar curvature of the a…
A short survey on -ideal CR submanifolds
Toru Sasahara
This paper surveys some of the known results on -ideal CR submanifolds in complex space forms, the nearly Kähler -sphere and odd dimensional unit spheres. In addition, the re…
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…