Journals / 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
- Journal
- Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
- Pages
- 299–325
- DOI
- —
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.