On the closed motions and closed space-like ruled surfaces
Küçük Resim Yok
Tarih
2000
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The theorems about closed motion in Euclidean space is given in [2] and [3]. In this paper, using the real Steiner rotation and translation vectors, we have given some theorems about the real pitch and the real angle of pitch which are the integral invariants of the closed space-like ruled surfaces. Taking a space-like line x in Frenet trihedron {t,n,b}, the real angle of pitch of space-like ruled surface, which is drawn by the space- like line x, is calculated by the .real angle of pitchs of space-like ruled surfaces those are drawn by the space-like lines t and b. Then, we give some theorems about dral and harmonic curvature in $R_1^3$ .
The theorems about closed motion in Euclidean space is given in [2] and [3]. In this paper, using the real Steiner rotation and translation vectors, we have given some theorems about the real pitch and the real angle of pitch which are the integral invariants of the closed space-like ruled surfaces. Taking a space-like line x in Frenet trihedron {t,n,b}, the real angle of pitch of space-like ruled surface, which is drawn by the space- like line x, is calculated by the .real angle of pitchs of space-like ruled surfaces those are drawn by the space-like lines t and b. Then, we give some theorems about dral and harmonic curvature in $R_1^3$ .
The theorems about closed motion in Euclidean space is given in [2] and [3]. In this paper, using the real Steiner rotation and translation vectors, we have given some theorems about the real pitch and the real angle of pitch which are the integral invariants of the closed space-like ruled surfaces. Taking a space-like line x in Frenet trihedron {t,n,b}, the real angle of pitch of space-like ruled surface, which is drawn by the space- like line x, is calculated by the .real angle of pitchs of space-like ruled surfaces those are drawn by the space-like lines t and b. Then, we give some theorems about dral and harmonic curvature in $R_1^3$ .
Açıklama
Anahtar Kelimeler
İstatistik ve Olasılık, Matematik
Kaynak
Communications Series A1: Mathematics and Statistics
WoS Q Değeri
Scopus Q Değeri
Cilt
49
Sayı
1-2
