The characterizations of spacelike loxodromes on helicoidal surfaces in Minkowski n-space

In this thesis; the characterizations of space-like loxodromes on helicoidal surfaces in Minkowski space are studied. In the first part of this study; the historical development, application areas and general definition of loxodromes are mentioned. In addition, a summary of the literature of some studies in this field is given. In the second chapter; some basic definitions and formulas about curves and surfaces in Minkowski space are given. In addition, the parameterizations of helicoidal surfaces in Minkowski space are obtained. In the third chapter; differential equations and general solutions of space-like loxodromes on the space-like helicoidal surfaces are obtained. Also, the parametrizations and arc-lengths of space-like loxodromes on the space-like right helicoidal surfaces are obtained. In the fourth chapter of the thesis; the differential equations and general solutions of space-like loxodromes on the time-like helicoidal surface are given. Also, the parametrizations and arc-lengths of space-like loxodromes on the time-like right helicoidal surfaces are obtained.