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(R1977) On Geometry Of Equiform Smarandache Ruled Surfaces Via Equiform Frame In Minkowski 3-Space, Emad Solouma
(R1977) On Geometry Of Equiform Smarandache Ruled Surfaces Via Equiform Frame In Minkowski 3-Space, Emad Solouma
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, some geometric properties of equiform Smarandache ruled surfaces in Minkowski space E13 using an equiform frame are investigated. Also, we give the sufficient conditions that make these surfaces are equiform developable and equiform minimal related to the equiform curvatures and when the equiform base curve contained in a plane or general helix. Finally, we provide an example, such as these surfaces.
Generalized Smarandache Curves Of Spacelike And Equiform Spacelike Curves Via Timelike Second Binormal In 𝕽𝟏 𝟒, Emad Solouma
Generalized Smarandache Curves Of Spacelike And Equiform Spacelike Curves Via Timelike Second Binormal In 𝕽𝟏 𝟒, Emad Solouma
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, we investigate spacelike Smarandache curves recording to the Frenet and the equiform Frenet frame of spacelike base curve with timelike second binormal vector in fourdimensional Minkowski space. Also, we compute the formulas of Frenet and equiform Frenet apparatus recording to the base curve. Furthermore, we give the geometric properties to these curves when is general helix.