Vertical and complete lifts of sections of a (dual) vector bundle and Legendre duality

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:68 Issue:1
Vertical and complete lifts of sections of a (dual) vector bundle and Legendre duality

Vertical and complete lifts of sections of a (dual) vector bundle and Legendre duality

Authors : E PEYGHAN, L NOURMOHAMMADİFAR, C M ARCUŞ

Pages : 299-325

Doi:10.31801/cfsuasmas.415924

View : 39 | Download : 10

Publication Date : 2019-02-01

Article Type : Research Paper

Abstract :Using the covariant derivative for exterior forms of a insert ignore into journalissuearticles values(dual); vector bundle, the complete lift of an arbitrary section of a insert ignore into journalissuearticles values(dual); vector bundle is discovered. A theory of Legendre type and Legendre duality between vertical lifts and between complete lifts are presented. Finally, a duality between Lie algebroids structures is developed
Keywords : Vertical and complete lifts of sections of a dual, vector bundle and Legendre duality

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