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NULL CURVES IN MINKOWSKI 3-SPACE
Magnetic curves in Sasakian manifolds
In this paper we classify the magnetic trajectories corresponding to contact magnetic fields in Sasakian manifolds of arbitrary dimension. Moreover, when the ambient is a Sasakian space form, we… Expand
ON SLANT CURVES IN SASAKIAN 3-MANIFOLDS
A classical theorem by Lancret says that a curve in Euclidean 3-space is of constant slope if and only if its ratio of curvature and torsion is constant. In this paper we study Lancret type problems… Expand
Null Bertrand curves in Minkowski 3-space and their characterizations
We introduce the notion of Bertrand curve for Cartan framed null curves in Minkowski 3-space and give a characterization.
Classifications and Isolation Phenomena of Bi-Harmonic Maps and Bi-Yang-Mills Fields
Classifications of all biharmonic isoparametric hypersurfaces in the unit sphere, and all biharmonic homogeneous real hypersurfaces in the complex or quaternionic projective spaces are shown. Answers… Expand
A complete classification of parallel surfaces in three-dimensional homogeneous spaces
We complete the classification of surfaces with parallel second fundamental form in all three-dimensional homogeneous spaces.
Deformations of Cartan framed null curves preserving the torsion
We study deformations of Cartan framed null curves in the Minkowski 3-space which preserve the torsion.
PSEUDO-SYMMETRIC CONTACT 3-MANIFOLDS
Contact Homogeneous 3-manifolds are pseudo-symmetric spaces of constant type. All Sasakian 3-manifolds are pseudo-symmetric spaces of constant type.
On time-like surfaces of positive constant Gaussian curvature and imaginary principal curvatures
Abstract We establish the Backlund transformation for the construction of time-like surfaces with positive Gaussian curvature and imaginary principal curvatures. The construction can be realized by… Expand
Spacelike Surfaces with Harmonic Inverse Mean Curvature
We study fundamental properties of spacelike surfaces with harmonic inverse mean curvature in Lorentzian space forms. Fur- ther we classify spacelike Bonnet surfaces with constant curvature in… Expand