The Fermi-Walker Derivative in Minkowski Space

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Tarih

2017

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Springer Basel Ag

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

In this study Fermi-Walker derivative, Fermi-Walker parallelism, non-rotating frame, Fermi-Walker terms Darboux vector concepts are given for Minkowski 3-space . First, we get any spacelike curve with a spacelike or timelike principal normal and any vector field along the curve in Minkowski 3-space . Fermi-Walker derivative and Fermi-Walker parallelism are analyzed for any spacelike curve with a spacelike or timelike principal normal in Minkowski 3-space and the necessary conditions to be Fermi-Walker parallel are explained. Then the necessary definitions, concepts and theorems are analyzed about Fermi-Walker derivative for any spacelike curve with a lightlike(null) principal normal. And then, in Minkowski 3-space Fermi-Walker derivative is analyzed for any timelike curves.

Açıklama

Anahtar Kelimeler

Fermi-Walker derivative, Fermi-Walker parallelism, Non-rotating frame, Spacelike curve, Timelike curve, Frenet frame, Darboux vector

Kaynak

Advances in Applied Clifford Algebras

WoS Q Değeri

Q2

Scopus Q Değeri

Q3

Cilt

27

Sayı

2

Künye