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Journals and Conferences
Every 3-dimensional Riemannian manifold with 4-dimensional isometry group admits a normal almost contact structure compatible to the metric. In this paper we study affine biharmonic curves in model… (More)
THEOREM 1 . 1 . (Bertrand-Lancret-de Saint Venant) A curve j(s) in Euclidean 3-space E is a curve of constant slope if and only if its ratio of curvature and torsion is constant. Here we recall that… (More)
We construct explicit solutions to discrete motion of discrete plane curves which has been introduced by one of the authors recently. Explicit formulas in terms the function are presented.… (More)
We give a differential geometric interpretation for the classification of biharmonic curves in semi-Euclidean 3-space due to Chen and Ishikawa (1991).
In this paper, we show the first and second variational formulas of biharmonic maps and bi-Yang-Mills fields, and show the first variation formula of k-harmonic maps, and also give an overview of our… (More)
A machine tool drive spindle has a socket in which tools are interchangeably seated for the performance of various metal cutting operations. A draw bolt within the drive spindle is threadable into… (More)
Contact Homogeneous 3-manifolds are pseudo-symmetric spaces of constant type. All Sasakian 3-manifolds are pseudo-symmetric spaces of constant type.
The notion of biharmonic map between Riemannian manifolds is generalized to maps from Riemannian manifolds into affine manifolds. Hopf cylinders in 3-dimensional Sasakian space forms which are… (More)
This work consists of two parts. In Part I, we shall give a systematic study of Lorentz conformal structure from structural viewpoints. We study manifolds with split-complex structure. We apply… (More)
Biharmonic or polyharmonic curves and surfaces in 3-dimensional contact manifolds are investigated. Introduction. This paper concerns curves and surfaces in 3-dimen- sional contact manifolds whose… (More)