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Dergiler / Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics / 2019 / Cilt: 68 - Sayı: 1

VERTICAL AND COMPLETE LIFTS OF SECTIONS OF A (DUAL) VECTOR BUNDLE AND LEGENDRE DUALITY

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

Sayfa
299–325
DOI
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Abstract

Using the covariant derivative for exterior forms of a (dual) vectorbundle, the complete lift of an arbitrary section of a (dual) vector bundle isdiscovered. A theory of Legendre type and Legendre duality between verticallifts and between complete lifts are presented. Finally, a duality between Liealgebroids structures is developed.