On the curvatures of timelike circular surfaces in Lorentz-Minkowski space
FILOMAT(2024)
摘要
In this paper, using the classical methods of differential geometry, we define invariants of timelike circular surfaces in Lorentz-Minkowski space R31, 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 surfaces with the theories of these invariants. Besides, to demonstrate our theoretical results some computational examples are given and plotted.
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关键词
Circular surfaces,Lines of curvature,Striction curve,Blaschke frame
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