Please use this identifier to cite or link to this item: https://hdl.handle.net/11499/8046
Title: Improving Lagrangian energy equations on Kähler jet bundles
Authors: Aycan, Cansel
Civelek, Şevket
Şimşek, Simge
Keywords: complex bundle
Euler-Lagrange equation
jet bundle
Kähler manifold
Lagrangian mechanical system
Abstract: This study proposes to improve the Lagrangian energy equations for instructed complex jet bundles on Kähler manifolds. The coordinates on the bundle structure of Kähler manifolds have been given for real and imaginary dimensions. For given bundle structures, all fundamental geometrical properties have been investigated and applications to complex bundle structures are carried out. The energy equations have been applied to the numerical example in order to test its performance. Moreover, velocity and time dimensions for energy movement equations have been presented as a new concept. This study shows some physical applications of those equations and interpretations are made. Results show that the imaginary coordinates are same as real coordinates. One of the interesting conclusion of this study is that the Lagrangian energy of a movement particle is static when the particle moves in a large velocity. © 2013 World Scientific Publishing Company.
URI: https://hdl.handle.net/11499/8046
https://doi.org/10.1142/S0219887813500266
ISSN: 0219-8878
Appears in Collections:Fen-Edebiyat Fakültesi Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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