On the Curvatures of Timelike Circular Surfaces in Lorentz-Minkowski Space

Abstract

In this paper, using the classical methods of differential geometry, we define invariants of timelike circular surfaces in Lorentz-Minkowski space R13, called curvature functions, and show kinematic meaning of these invariants. Then we discuss the properties of these invariants and give a kind of classification of the meant surfaces with the theories of these invariants. Besides, to demonstrate our theoretical results some computational examples are given and plotted.