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Legendrian dual surfaces in hyperbolic 3-space

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Saji K., Yıldırım H.

Annales Polonici Mathematici

2015

tom 115

nr 3

241-261

We consider surfaces in hyperbolic 3-space and their duals. We study flat dual surfaces in hyperbolic 3-space by using extended Legendrian dualities between pseudo-hyperspheres in Lorentz-Minkowski 4-space. We define the flatness of a surface in hyperbolic 3-space by the degeneracy of its dual, which is similar to the case of the Gauss map of a surface in Euclidean 3-space. Such surfaces are a kind of ruled surfaces. Moreover, we investigate the singularities of these surfaces and the dualities of the singularities.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Saji K.

1 Yıldırım H.

1 2015

Wyniki wyszukiwania

Legendrian dual surfaces in hyperbolic 3-space