Congruence of degenerate surface along pseudo null curve and Landau-Lifshitz equation
Küçük Resim Yok
Tarih
2022
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
This paper is devoted to the geometry of pseudo null curve in terms of anholonomic coordinates in Minkowski space. Firstly, extended Frenet formulas for pseudo null curves are deeply discussed. Then binormal congruence of degenerate surfaces containing the s - lines and n - lines are investigated with the condition mu(b) = 0. This condition represents the necessary and sufficient condition for the existence of a one-parameter family of surfaces containing the s - lines and n - lines. Moreover, normal congruence of surfaces containing the s - lines and b - lines are examined with the condition mu(n) = 0. Again, the condition represents the necessary and sufficient condition for the existence of a one-parameter family of surfaces containing the s - lines and b - lines. Considering the compatibility conditions, Gauss-Mainardi-Codazzi equations are obtained for this binormal and congruence of surfaces, respectively. Finally, some relations are given for constructing the moving pseudo null curve with using the integrable Landau-Lifshitz equation. (C) 2022 Elsevier B.V. All rights reserved.
Açıklama
Anahtar Kelimeler
Pseudo Null Flows, Binormal Congruence, Normal Congruence, Landau-Lifshitz Equation, Minkowski Space
Kaynak
Journal Of Geometry And Physics
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
178
