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

Yıl 2019, Cilt: 68 Sayı: 1, 299 - 325, 01.02.2019

E. Peyghan , L. Nourmohammadifar C. M. Arcuş

https://doi.org/10.31801/cfsuasmas.415924

Öz

Using the covariant derivative for exterior forms of a (dual) vector bundle, the complete lift of an arbitrary section of a (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

Anahtar Kelimeler

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

Kaynakça

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