Una Trasformata di Legendre su un modello non standard

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 c...

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Main Author: Vittorio Martino
Format: Article
Language:English
Published: University of Bologna 2010-12-01
Series:Bruno Pini Mathematical Analysis Seminar
Online Access:http://mathematicalanalysis.unibo.it/article/view/2229
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spelling doaj-43b0007b0dbd45d9ae9420095c688e9c2020-11-24T22:32:48ZengUniversity of BolognaBruno Pini Mathematical Analysis Seminar2240-28292010-12-01112104Una Trasformata di Legendre su un modello non standardVittorio Martino0Università di BolognaWe 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.http://mathematicalanalysis.unibo.it/article/view/2229
collection DOAJ
language English
format Article
sources DOAJ
author Vittorio Martino
spellingShingle Vittorio Martino
Una Trasformata di Legendre su un modello non standard
Bruno Pini Mathematical Analysis Seminar
author_facet Vittorio Martino
author_sort Vittorio Martino
title Una Trasformata di Legendre su un modello non standard
title_short Una Trasformata di Legendre su un modello non standard
title_full Una Trasformata di Legendre su un modello non standard
title_fullStr Una Trasformata di Legendre su un modello non standard
title_full_unstemmed Una Trasformata di Legendre su un modello non standard
title_sort una trasformata di legendre su un modello non standard
publisher University of Bologna
series Bruno Pini Mathematical Analysis Seminar
issn 2240-2829
publishDate 2010-12-01
description 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.
url http://mathematicalanalysis.unibo.it/article/view/2229
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