On the curvatures of timelike circular surfaces in Lorentz-Minkowski space
Jing Li, Zhichao Yang, Yanlin Li, Rashad A. Abdel-Baky, Khalifa Saad
Abstract
In this paper, using the classical methods of differential geometry, wedefine invariants of timelike circular surfaces in Lorentz-Minkowski space R3 1, 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.
Topics & Concepts
Minkowski spaceMathematicsLorentz transformationHyperboloid modelLorentz spaceSpace (punctuation)GeometryMathematical analysisMathematical physicsPure mathematicsClassical mechanicsPhysicsPhilosophyLinguisticsAdvanced Differential Geometry ResearchGeometric Analysis and Curvature FlowsGeometry and complex manifolds