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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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참고문헌 (3)
참고문헌 신청
J. W. Bruce / 1992 / Curves and Singularities / Cambridge University press
S. Izumiya / 2004 / Horospherical surfaces of curves in hyperbolic space / Publ. Math. Debrecen 64 (1-2) : 1 ~ 13
S. Izumiya / 2013 / Lightlike hypersurfaces along spacelike submanifolds in Minkow-ski space-time / J. Geom. Phys 71 : 30 ~ 52
S. Izumiya / 2004 / Horospherical surfaces of curves in hyperbolic space / Publ. Math. Debrecen 64 (1-2) : 1 ~ 13
S. Izumiya / 2013 / Lightlike hypersurfaces along spacelike submanifolds in Minkow-ski space-time / J. Geom. Phys 71 : 30 ~ 52
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