We consider an exotic contact form on the three-dimensional sphere and we establish explicitly the existence of a non singular vector field in its kernel such that the dual form is still a contact form with the same orientation than the given one. In particular this means that a Legendre transform can be completed.
@article{2229,
title = {Una Trasformata di Legendre su un modello non standard},
journal = {Bruno Pini Mathematical Analysis Seminar},
year = {2010},
doi = {10.6092/issn.2240-2829/2229},
language = {IT},
url = {http://dml.mathdoc.fr/item/2229}
}
Martino, Vittorio. Una Trasformata di Legendre su un modello non standard. Bruno Pini Mathematical Analysis Seminar, (2010), . doi : 10.6092/issn.2240-2829/2229. http://gdmltest.u-ga.fr/item/2229/