New Special Curves and Developable Surfaces

Shyuichi IZUMIYA

Makale detayları

New Special Curves and Developable Surfaces

Yazarlar:

Shyuichi IZUMIYA

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2004 Vol.28 Issue 2, pp.153-164

Belge Tipi:

Makale

Yayın Tarihi:

1/2004

Belge Dili:

Türkçe

Document ID (Org No.):

2000748775

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Anahtar kelimeler:

Özet:

 

We define new special curves in Euclidean 3-space which we  call slant helices and conical geodesic curves.  Those notions are  generalizations of the notion of cylindrical helices.  One of the  results in this paper gives a classification of special developable  surfaces under the condition of the existence of such a special curve  as a geodesic.  As a result, we consider geometric invariants of space  curves.  By using these invariants, we can estimate the order of  contact with those special curves for general space curves.  All  arguments in this paper are straight forward and classical.  However,  there have been no papers which have investigated slant helices and  conical geodesic curves so far as we know.

 

We define new special curves in Euclidean 3-space which we  call slant helices and conical geodesic curves.  Those notions are  generalizations of the notion of cylindrical helices.  One of the  results in this paper gives a classification of special developable  surfaces under the condition of the existence of such a special curve  as a geodesic.  As a result, we consider geometric invariants of space  curves.  By using these invariants, we can estimate the order of  contact with those special curves for general space curves.  All  arguments in this paper are straight forward and classical.  However,  there have been no papers which have investigated slant helices and  conical geodesic curves so far as we know.

Makale detayları

New Special Curves and Developable Surfaces

Yazarlar:

Shyuichi IZUMIYA

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2004 Vol.28 Issue 2, pp.153-164

Belge Tipi:

Makale

Yayın Tarihi:

1/2004

Belge Dili:

Türkçe

Document ID (Org No.):

2000748775

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Helix

Darboux vector

developable surfaces

singularities

Sayı

Makale detayları

New Special Curves and Developable Surfaces

Yazarlar: Shyuichi IZUMIYA

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2004 Vol.28 Issue 2, pp.153-164

Belge Tipi: Makale

Yayın Tarihi: 1/2004

Belge Dili: Türkçe

Document ID (Org No.): 2000748775

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Helix

Darboux vector

developable surfaces

singularities

Sayı

Yazarlar:

Shyuichi IZUMIYA

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2004 Vol.28 Issue 2, pp.153-164

Belge Tipi:

Makale

Yayın Tarihi:

1/2004

Belge Dili:

Türkçe

Document ID (Org No.):

2000748775

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098