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On the curvatures of timelike circular surfaces in Lorentz-Minkowski space

202412 citationsOpen accessSohag University

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.

Research topics

  • Advanced Differential Geometry Research
  • Geometric Analysis and Curvature Flows
  • Geometry and complex manifolds

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DOI: 10.2298/fil2404423l

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