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82  Articles
1 of 9 pages  |  10  records  |  more records»
 In this work, we firstly describe conditions for being elastica in Minkowski space E41. Then we investigate the energy of the elastic curves and exploit its relationship with the energy of Bishop vectors belong to that elastic curves E41. Finally, w... see more

In this paper, we study energy of involute curves for slant helix in the Lie group. With this new representation, we illistrate some figures of energy by elastica. Finally, we have an original and satisfactorily connection between energy of the curve on L... see more

In this paper, we study S-tangent surfaces according to Sabban frame in the Lorentzian Heisenberg group Heis³. We obtain differential equations about in terms of their geodesic curvatures in the Lorentzian Heisenberg group Heis³. Finally, we find explicit... see more

In this paper, B-tubular surfaces in terms of biharmonic spacelike new type B-slant helices according to Bishop frame in the Lorentzian Heisenberg group H3 are studied. The Necessary and sufficient conditions for new type B-slant helices to be biharmonic ... see more

 In this work, new type ruled surfaces in terms of B- Smarandache TM1 curves of biharmonic B- slant helices in the SOL3 are studied. We characterize the B- Smarandache TM1 curves in terms of their Bishop curvatures. Additionally, we express some inte... see more

In this paper, b-m2 developable surfaces of biharmonic b-slant helices in the special three-dimensional Ricci symmetric para-Sasakian manifold P is studied. Explicit parametric equations of b-m2 developable surfaces of biharmonic b-slant helices in the sp... see more


In this work, we consider velocity bimagnetic biharmonic particle on 3D Heisenberg space in the magnetic field B and we give the concept of energy. Moreover, we characterize energy conditions of velocity bimagnetic biharmonic particles with Frenet vector ... see more

 In this work, we firstly describe conditions for being elastica in Minkowski space E41. Then we investigate the energy of the elastic curves and exploit its relationship with the energy of Bishop vectors belong to that elastic curves E41. Finally, w... see more

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