Flat surfaces in the Minkowski space E31  with pointwise 1-type Gauss map

Uğur DURSUN; Emel COŞKUN

Makale detayları

Flat surfaces in the Minkowski space E31 with pointwise 1-type Gauss map

Yazarlar:

Uğur DURSUN | Emel COŞKUN

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2012 Vol.36 Issue 4, pp.613-629

Belge Tipi:

Makale

Yayın Tarihi:

3/2012

Belge Dili:

Türkçe

Document ID (Org No.):

2000747755

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Anahtar kelimeler:

Özet:

 

In this article, we obtain all nonplanar cylindrical  surfaces in the Minkowski space E31 with pointwise 1-type Gauss map  of the second kind.  We also prove that right circular cones and  hyperbolic cones in E31 are the only cones in E31 with pointwise  1-type Gauss map of the second kind.  We conclude that there is no  tangent developable surface fully lying in E31 with pointwise 1-type  Gauss map of the second kind.

 

In this article, we obtain all nonplanar cylindrical  surfaces in the Minkowski space E31 with pointwise 1-type Gauss map  of the second kind.  We also prove that right circular cones and  hyperbolic cones in E31 are the only cones in E31 with pointwise  1-type Gauss map of the second kind.  We conclude that there is no  tangent developable surface fully lying in E31 with pointwise 1-type  Gauss map of the second kind.

Makale detayları

Flat surfaces in the Minkowski space E31 with pointwise 1-type Gauss map

Yazarlar:

Uğur DURSUN | Emel COŞKUN

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2012 Vol.36 Issue 4, pp.613-629

Belge Tipi:

Makale

Yayın Tarihi:

3/2012

Belge Dili:

Türkçe

Document ID (Org No.):

2000747755

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Gauss map

Pointwise 1-type

Ruled surface

Cone

Cylinder

Developable surface

Sayı

Makale detayları

Flat surfaces in the Minkowski space E31 with pointwise 1-type Gauss map

Yazarlar: Uğur DURSUN | Emel COŞKUN

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2012 Vol.36 Issue 4, pp.613-629

Belge Tipi: Makale

Yayın Tarihi: 3/2012

Belge Dili: Türkçe

Document ID (Org No.): 2000747755

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Gauss map

Pointwise 1-type

Ruled surface

Cone

Cylinder

Developable surface

Sayı

Yazarlar:

Uğur DURSUN | Emel COŞKUN

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2012 Vol.36 Issue 4, pp.613-629

Belge Tipi:

Makale

Yayın Tarihi:

3/2012

Belge Dili:

Türkçe

Document ID (Org No.):

2000747755

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098