Linear deformations of closed non-singular 1-forms into even contact and Engel defining forms

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DOI : https://doi.org/10.56424/jts.v19i01.247
Published Jun 12, 2025

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Serigne Abdoul Aziz Dramé
Department of Mathematics and Computer Science, FST, Cheikh Anta Diop University, Dakar, Senegal, serigneabdoulaziz. CERER, Cheikh Anta Diop University, Dakar, Senegal, cheikh
Cheikh Khoule
Department of Mathematics, FASTEF, Cheikh Anta Diop University, Dakar, Senegal, ameth
Ameth Ndiaye
Department of Mathematics, FASTEF, Cheikh Anta Diop University, Dakar, Senegal, ameth

Abstract

An Engel structure is a maximally non-integrable plane field on a 4-dimensional smooth manifold. Line fields, contact structures, even-contact structures (maximally non-integrable hyperplane fields on even-dimensional manifolds) and Engel structures are the only distributions which are stable under C2-small perturbations. In this paper we investigate linear deformations of closed
non-singular one forms into even

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How to Cite
Dramé, S. A. A., Khoule, C., & Ndiaye, A. (2025). Linear deformations of closed non-singular 1-forms into even contact and Engel defining forms. Journal of the Tensor Society, 19(01), 1-13. https://doi.org/10.56424/jts.v19i01.247
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Vol 19 No 01 (2025): Journal of the Tensor Society
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Articles
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