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NULL CURVES IN MINKOWSKI 3-SPACE
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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, weExpand
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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 problemsExpand
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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.
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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. AnswersExpand
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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.
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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.
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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.
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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 byExpand
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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 inExpand
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