The Relation Among Blaschke Vectors Of Ruled Surfaces On A Line Congruence And Its Conseouences

Ali ÇALIŞKAN

doi:https://doi.org/10.1501/Commua1_0000000306

Makale detayları

The Relation Among Blaschke Vectors Of Ruled Surfaces On A Line Congruence And Its Conseouences

Yazarlar:

Ali ÇALIŞKAN

Yayıncı:

Ankara University

Ana Başlıklar:

Matematik

Dergi:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 1989 Vol.38 Issue 01.02

Belge Tipi:

Makale

Yayın Tarihi:

12/1988

Belge Dili:

İngilizce

Document ID (Org No.):

2000910383

Sıklık:

Üç Aylık

eISSN:

2618-6470

pISSN:

1303-5991

DOI:

https://doi.org/10.1501/Commua1_0000000306

Özet:

 

This study consists of three sections and first of them is reserved for the Basic con cepts. Necessary concepts and relations obtained among the magnıtudes of a ruled surface Rx and parameter ruled surfaces (chosen as prîncipal ruled surfaces) R of a cong- mence R (u,v) are given in the section II so as to use in the third section.
In the section three, the relation
B = P (
Cos 4? p
B. +
Sin İp d 4, “ds" + Ro)
is found among the Blaschke vectors (dual instantaneous speeds) of the three ruled surfaces mentioned in the seçtin II. Using this relation, the formula of Liouville, J. for the theory of surfaces is generalized to the line space by giving the relation among the dual splıerical cur- vaturs which are the invariants of the ruled surfaces, and some corollaries concernîng with thcme relations are given.

Makale detayları

The Relation Among Blaschke Vectors Of Ruled Surfaces On A Line Congruence And Its Conseouences

Yazarlar: Ali ÇALIŞKAN

Yayıncı: Ankara University

Ana Başlıklar: Matematik

Dergi: Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 1989 Vol.38 Issue 01.02

Belge Tipi: Makale

Yayın Tarihi: 12/1988

Belge Dili: İngilizce

Document ID (Org No.): 2000910383

Sıklık: Üç Aylık

eISSN: 2618-6470

pISSN: 1303-5991

DOI: https://doi.org/10.1501/Commua1_0000000306

Sayı

Yazarlar:

Ali ÇALIŞKAN

Yayıncı:

Ankara University

Ana Başlıklar:

Matematik

Dergi:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 1989 Vol.38 Issue 01.02

Belge Tipi:

Makale

Yayın Tarihi:

12/1988

Belge Dili:

İngilizce

Document ID (Org No.):

2000910383

Sıklık:

Üç Aylık

eISSN:

2618-6470

pISSN:

1303-5991

DOI:

https://doi.org/10.1501/Commua1_0000000306