On differential analysis of spacelike flows on normal congruence of surfaces
Küçük Resim Yok
Tarih
2022
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Amer Inst Mathematical Sciences-Aims
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The present paper examines the differential analysis of flows on normal congruence of spacelike curves with spacelike normal vector in terms of anholonomic coordinates in three dimensional Lorentzian space. Eight parameters, which are related by three partial differential equations, are discussed. Then, it is seen that the curl of tangent vector field does not include any component with principal normal direction. Thus there exists a surface which contains both s-lines and b - lines. Also, we examine a normal congruence of surfaces containing the s - lines and b - lines. By compatibility conditions, Gauss-Mainardi-Codazzi equations are obtained for this normal congruence of surface. Intrinsic geometric properties of this normal congruence of surfaces arc given.
Açıklama
Anahtar Kelimeler
Anholonomic Coordinates, Normal Congruence, Flows Of Spacelike Curve, Timelike Surface, Gauss-Mainardi-Codazzi Equations
Kaynak
Aims Mathematics
WoS Q Değeri
Q1
Scopus Q Değeri
Cilt
7
Sayı
8
