A Dynamical Approach to Position Vector of Timelike Curve by Vectorial Momentum, Torque and Tangential Dual Curve
Küçük Resim Yok
Tarih
2022
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springernature
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this study, the position vector of a timelike curve p is stated by a linear combination of its Serret Frenet frame with differentiable functions. The definition of tangential dual curve of the curve p is stated by using these differentiable functions. Moreover, tangential torque curve of timelike curve p is defined and investigated. New dynamically and physical results are stated depending on the torque of the timelike curve p and the direction of the tangent vector component of the curve. Then, the position vector of a timelike W curve is again stated by differentiable functions. Therefore, solutions of differential equation of the position vector of timelike W curve with two different types depending on the values of curvature and torsion of timelike curve are obtained. By using the differentiable functions obtained as a result of these solutions, tangential dual and torque curve of the timelike W curve are obtained. Depending on the tangential dual and torque curve of the timelike W curve, results are given for two different cases separately.
Açıklama
Anahtar Kelimeler
Position Vector, Tangential Torque, Tangential Dual Curve, Timelike W Curve
Kaynak
Journal Of Nonlinear Mathematical Physics
WoS Q Değeri
Q4
Scopus Q Değeri
Q3
Cilt
29
Sayı
4
