ON THE DETERMINATION OF A DEVELOPABLE TIMELIKE RULED SURFACE

ON THE DETERMINATION OF A DEVELOPABLE TIMELIKE RULED SURFACE

Abstract: This paper gives a method for determining a developable timelike ruled surface by using dual vector calculus. A developable timelike ruled surface can be parameterized in the form m(t, u) =p(t) +u x(t) ( p(t) is called the base curve of m(t, u)). The dual vectorial expression of a developa...

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Bibliographic Details
Main Author: Mustafa KAZAZ
Format: Article
Language:English
Published: Suleyman Demirel University 2009-02-01
Series:Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi
Subjects:
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Online Access:http://dergipark.gov.tr/sdufeffd/issue/11267/134641?publisher=sdu-1
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Summary:Abstract: This paper gives a method for determining a developable timelike ruled surface by using dual vector calculus. A developable timelike ruled surface can be parameterized in the form m(t, u) =p(t) +u x(t) ( p(t) is called the base curve of m(t, u)). The dual vectorial expression of a developable timelike ruled surface is obtained from the coordinates and the first derivatives of the base curve. Key words: Minkowski space, Developable surface, Timelike ruled surface. Mathematics Subject Classifications (2000): 53C50, 53A04, 53A05. BİR AÇILABİLİR TİMELİKE REGLE YÜZEYİN BELİRLENMESİ ÜZERİNE Özet: Bu makalede dual vektör analizi kullanılarak bir açılabilir timelike regle yüzeyin belirlenmesi için bir metot verilmiştir. Bir açılabilir timelike regle yüzey m(t, u)=p(t)+u x(t) formunda parametreleştirilebilir ( p(t) ye m(t, u) nın dayanak eğrisi denir). Bir açılabilir timelike regle yüzeyin dual vektörel ifadesi koordinatlar ve dayanak eğrisinin ilk türevlerinden elde edildi. Anahtar kelimeler: Minkowski Uzayı, Açılabilir Yüzey, Timelike Regle Yüzey.
ISSN:1306-7575

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