Lightlike developables in minkowski 3-space

• Autorzy: Chino S. , Izumiya S.
• Języki publikacji: EN

Abstrakty

EN

We say that a surface in Minkowski 3-space is a lightlike developable if all pseudo-normal vectors of the regular part of the surface are lightlike. The tangent surface of a lightlike curve is one of the lightlike developables. We give a generic classification of such surfaces. The all arguments in this paper are elementary. However, we discovered the H3 type singularity appears in generic for such a class of surfaces. Since the H3 type singularity usually appears in non-generic situation, this is a quite interesting phenomenon.

Słowa kluczowe

EN

lightlike developables; Minkowski 3-space; singularities

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2010
• Tom: Vol. 43, nr 2
• Strony: 387--399
• Opis fizyczny: Bibliogr. 14 poz., rys.

Twórcy

autor

Chino S.

autor

Izumiya S.

• Department of Mathematics Hokkaido University Sapporo 060-0810 Japan,

Bibliografia

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