ON THE DETERMINATION OF A DEVELOPABLE TIMELIKE RULED SURFACE

Authors : Mustafa KAZAZ

Pages : 72-79

Doi:10.29233/sdufeffd.134641

View : 19 | Download : 12

Publication Date : 2008-06-01

Article Type : Research Paper

Abstract :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 minsert ignore into journalissuearticles values(t, u); =pinsert ignore into journalissuearticles values(t); +u xinsert ignore into journalissuearticles values(t); insert ignore into journalissuearticles values( pinsert ignore into journalissuearticles values(t); is called the base curve of minsert ignore into journalissuearticles values(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 insert ignore into journalissuearticles values(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 minsert ignore into journalissuearticles values(t, u);=pinsert ignore into journalissuearticles values(t);+u xinsert ignore into journalissuearticles values(t); formunda parametreleştirilebilir insert ignore into journalissuearticles values( pinsert ignore into journalissuearticles values(t); ye minsert ignore into journalissuearticles values(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.
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