In this paper, first, we give the general formulas according to first fundamental form of a surface for different types loxodromes, meridians and surfaces in [Formula: see text]. After that, obtain differential equations loxodromes on Type-I, Type-II Type-III twisted text] also, state theorem which generalizes special case. Finally, provide several examples visualizing our obtained results draw...

The present paper is focused on time-like circular surfaces and singularities in Minkowski 3-space. timelike surface with a constant radius could be swept out by moving Lorentzian circle its center while following non-lightlike curve called the spine curve. In study, we have parameterized examined their geometric properties, such as striction curves, corresponding those of ruled surfaces. After...

The scope of this paper is to look at some aspects the differential geometry Bezier curves in Minkowski space. For that purpose, we firstly introduce Frenet curve 3-space. Especially, investigate Serret-Frenet frame, curvature and torsion all points. Moreover, give apparatus these end