Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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FOCAL SURFACES AND EVOLUTES OF CURVES IN HYPERBOLIC SPACE

  • Received : 2016.02.05
  • Published : 2017.01.31
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Abstract

We define de Sitter focal surfaces and hyperbolic focal surfaces of hyperbolic space curves. As an application of the theory of unfoldings of function germs, we investigate the singularities of these surfaces. For characterizing the singularities of these surfaces, we discover a new hyperbolic invariants and investigate the geometric meanings.

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References

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