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Symmetry, Integrability and Geometry: Methods and Applications, 2018, Volume 14, 135, 46 pp.
DOI: https://doi.org/10.3842/SIGMA.2018.135 (Mi sigma1434) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Higher-Order Analogs of Lie Algebroids via Vector Bundle Comorphisms

Michał Jóźwikowskia, Mikołaj Rotkiewiczb

a Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-656 Warszawa, Poland
b Faculty of Mathematics, Informatics and Mechanics, University of Warsaw, Banacha 2, 02-097 Warszawa, Poland
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DOI: https://doi.org/10.3842/SIGMA.2018.135
Abstract: We introduce the concept of a higher algebroid, generalizing the notions of an algebroid and a higher tangent bundle. Our ideas are based on a description of (Lie) algebroids as vector bundle comorphisms – differential relations of a special kind. In our approach higher algebroids are vector bundle comorphism between graded-linear bundles satisfying natural axioms. We provide natural examples and discuss applications in geometric mechanics.
Keywords: higher algebroid; vector bundle comorphism; almost-Lie algebroid; graded manifold; graded bundle; algebroid lift; variational principle.
Funding agency Grant number
National Science Centre (Narodowe Centrum Nauki) DEC-2012/06/A/ST1/00256
This research was supported by the Polish National Science Center under the grant DEC-2012/06/A/ST1/00256.
Received: January 10, 2018; in final form December 12, 2018; Published online December 29, 2018
Bibliographic databases:
Document Type: Article
MSC: 58A20; 58A50; 70G65; 58E30; 70H50
Language: English
Citation: Michał Jóźwikowski, Mikołaj Rotkiewicz, “Higher-Order Analogs of Lie Algebroids via Vector Bundle Comorphisms”, SIGMA, 14 (2018), 135, 46 pp.
Citation in format AMSBIB
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\paper Higher-Order Analogs of Lie Algebroids via Vector Bundle Comorphisms
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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