Null scrolls as B-scrolls in Lorentz-Minkowski 3-space

Zeljka Milin SİPUS; Ljiljana Primorac GAJCIC; İvana PROTRKA

Makale detayları

Null scrolls as B-scrolls in Lorentz-Minkowski 3-space

Yazarlar:

Zeljka Milin SİPUS | Ljiljana Primorac GAJCIC | İvana PROTRKA

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2019 Vol.43 Issue 6, pp.2908-2920

Belge Tipi:

Makale

Yayın Tarihi:

11/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000745509

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Özet:

 

Null scrolls, i.e. ruled surfaces whose base curve and rulings are both lightlike (null), are Lorentzian surfaces  having no Euclidean counterparts. In this work we present reparametrization of nondegenerate null scroll as a B-scroll,  i.e. as a ruled surface whose rulings correspond to the binormal vectors of a base curve. We prove that the  curvature of a base curve, which determines the Gaussian and mean curvature of a null scroll, is invariant under such a  reparametrization. We also determine a one-parameter family of null curves on null scroll which serve as base curves for  this kind of reparametrization.

Makale detayları

Null scrolls as B-scrolls in Lorentz-Minkowski 3-space

Yazarlar: Zeljka Milin SİPUS | Ljiljana Primorac GAJCIC | İvana PROTRKA

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2019 Vol.43 Issue 6, pp.2908-2920

Belge Tipi: Makale

Yayın Tarihi: 11/2019

Belge Dili: İngilizce

Document ID (Org No.): 2000745509

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Sayı

Yazarlar:

Zeljka Milin SİPUS | Ljiljana Primorac GAJCIC | İvana PROTRKA

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2019 Vol.43 Issue 6, pp.2908-2920

Belge Tipi:

Makale

Yayın Tarihi:

11/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000745509

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098