Engel structures on complex surfaces

Pia, N. und Placini, G. (2021): Engel structures on complex surfaces. In: Annali Di Matematica Pura Ed Applicata, Vol. 200, No. 3: pp. 983-997

Abstract

We classify complex surfaces (M, J) admitting Engel structures D which are complex line bundles. Namely, we prove that this happens if and only if (M, J) has trivial Chern classes. We construct examples of such Engel structures by adapting a construction due to Geiges [7]. We also study associated Engel defining forms and define a unique splitting of TM associated with D J-Engel.

• Item Type: Journal article
• Faculties: Mathematics, Computer Science and Statistics > Mathematics
• Subjects: 500 Science > 510 Mathematics
• ISSN: 0373-3114
• Language: English