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In practical applications play an new important role timelike biharmonic particle by Fermi-Walker derivative. In this article, we get a innovative interpretation about timelike biharmonic particle by means of Fermi-Walker derivative and parallelism in Heisenberg spacetime. With this new representation, we derive necessary and sufficient condition of the given particle to be the inextensible flow. Moreover, we provide several characterizations designed for this particles in Heisenberg spacetime.
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참고문헌 (32)
참고문헌 신청
D. Bini / 2006 / Frenet-Serret formalism for null world lines / Class. Quantum Grav 23:3963~3981
E. Fermi / 1922 / Atti Accad. Naz / Lincei Cl. Sci. Fiz. Mat. Nat 31:184~306
A. Gray / 1998 / Modern Differential Geometry of Curves and Surfaces with Mathemat-ica / CRC Press
J. Eells / 1978 / A report on harmonic maps / Bull. London Math. Soc 10:1~68
A. Einstein / 1920 / Relativity: The Special and General Theory / Henry Holt
E. Fermi / 1922 / Atti Accad. Naz / Lincei Cl. Sci. Fiz. Mat. Nat 31:184~306
A. Gray / 1998 / Modern Differential Geometry of Curves and Surfaces with Mathemat-ica / CRC Press
J. Eells / 1978 / A report on harmonic maps / Bull. London Math. Soc 10:1~68
A. Einstein / 1920 / Relativity: The Special and General Theory / Henry Holt
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