Space-like and time-like loxodromes on time-like rotational surfaces in minkowski 4-space

In this thesis; loxodromes on time-like rotational surfaces were studied in Minkowski 4-space. The thesis study consists of four parts. The first chapter is the introduction, and in this chapter, the general definition of loxodrome, explanations and examples about its application areas are given. In addition, in this section, some basic definitions of the Minkowski 4-space were given and a literature summary was made. In the second chapter, some definitions and theorems of the Minkowski 4-space were given and the groundwork was prepared. The original part of the study consists of the third and fourth parts. In the third part; Differential equations and general solutions of space-like loxodromes on time-like rotational surfaces in Minkowski 4-space are created. In addition, some examples were given and related graphics were drawn with the help of Mathematica program. In the fourth chapter, differential equations of time-like loxodromes on time-like rotational surfaces in Minkowski 4-space are obtained. Examples were given and their graphics were drawn with the Mathematica program.