General rotational surfaces in the 4-dimensional Minkowski space

Georgi GANCHEV; Velichka MILOUSHEVA

Makale detayları

General rotational surfaces in the 4-dimensional Minkowski space

Yazarlar:

Georgi GANCHEV | Velichka MILOUSHEVA

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2014 Vol.38 Issue 5, pp.883-895

Belge Tipi:

Makale

Yayın Tarihi:

4/2014

Belge Dili:

Türkçe

Document ID (Org No.):

2000747278

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Anahtar kelimeler:

Özet:

 

General rotational surfaces as a source of examples of surfaces in the 4-dimensional Euclidean space were introduced by C. Moore. In this paper we consider the analogue of these surfaces in the Minkowski 4-space. On the basis of our invariant theory of spacelike surfaces we study general rotational surfaces with special invariants. We describe analytically the flat general rotational surfaces and the general rotational surfaces with flat normal connection. We classify  completely the minimal general rotational surfaces and the general rotational surfaces consisting of parabolic points.

 

General rotational surfaces as a source of examples of surfaces in the 4-dimensional Euclidean space were introduced by C. Moore. In this paper we consider the analogue of these surfaces in the Minkowski 4-space. On the basis of our invariant theory of spacelike surfaces we study general rotational surfaces with special invariants. We describe analytically the flat general rotational surfaces and the general rotational surfaces with flat normal connection. We classify  completely the minimal general rotational surfaces and the general rotational surfaces consisting of parabolic points.

Makale detayları

General rotational surfaces in the 4-dimensional Minkowski space

Yazarlar:

Georgi GANCHEV | Velichka MILOUSHEVA

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2014 Vol.38 Issue 5, pp.883-895

Belge Tipi:

Makale

Yayın Tarihi:

4/2014

Belge Dili:

Türkçe

Document ID (Org No.):

2000747278

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Surfaces in the 4-dimensional Minkowski space

general rotational surfaces

minimal surfaces

flat surfaces

surfaces with flat normal connection

Sayı

Makale detayları

General rotational surfaces in the 4-dimensional Minkowski space

Yazarlar: Georgi GANCHEV | Velichka MILOUSHEVA

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2014 Vol.38 Issue 5, pp.883-895

Belge Tipi: Makale

Yayın Tarihi: 4/2014

Belge Dili: Türkçe

Document ID (Org No.): 2000747278

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Surfaces in the 4-dimensional Minkowski space

general rotational surfaces

minimal surfaces

flat surfaces

surfaces with flat normal connection

Sayı

Yazarlar:

Georgi GANCHEV | Velichka MILOUSHEVA

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2014 Vol.38 Issue 5, pp.883-895

Belge Tipi:

Makale

Yayın Tarihi:

4/2014

Belge Dili:

Türkçe

Document ID (Org No.):

2000747278

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098