Bour 's Theorem on Timelike Helicoidal Surfaces with (L,L)-Type in Minkowski 3- Space
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Tarih
2008
Yazarlar
Dergi Başlığı
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Yayıncı
Beykent Üniversitesi
Erişim Hakkı
Özet
In this work, it is given that a timelike generalized helicoid of (null axis, null profile curve) type is isometric to a timelike rotation surface of same type by Bour's theorem in Minkowski 3-space. In addition, it is obtained that these surfaces are not minimal and have not got the same Gauss map. Moreover, some relations between the mean, Gauss, the second Gaussian and the second mean curvature of the helicoidal surfaces of (L,L)-type are investigated in Minkowski 3-space.
Açıklama
Anahtar Kelimeler
Timelike helicoidal surfaces, Gauss map, second mean curvature, second Gaussian curvature
Kaynak
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Künye
Journal of Science and Technology 2 (1), 2008, 86-98