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math.DG2013★ 62 cited
A new Approach for Magnetic Curves in 3D Riemannian Manifolds
Zehra Bozkurt, Ismail Gök, Yusuf Yaylı +1
A magnetic field is defined by the property that its divergence is zero in a three dimensional oriented Riemannian manifold. Each magnetic field generates a magnetic flow whose tra…
math.DG2012★ 2 cited
Parallel Transport Frame in 4-dimensional Euclidean Space
Fatma Gökçelik, Zehra Bozkurt, İsmail Gök +2
In this work, we give parallel transport frame of a curve and we introduce the relations between the frame and Frenet frame of the curve in 4-dimensional Euclidean space. The relat…