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1997 | OriginalPaper | Buchkapitel

Classification globale des formes différentielles transitives sur la sphère S5

verfasst von : Francisco Javier Turiel

Erschienen in: Integrable Systems and Foliations

Verlag: Birkhäuser Boston

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In this work we study the global models of a r-form ω, on the sphere S5, which is transitive, i.e. we assume that for each p Є S5 and each υ Є T P S5 there exists a vector field X on S5 such that L x ω = 0 and X( p ) = υ. For volume forms (Moser theorem), closed 3-forms, non closed 2-forms and some non closed 3-forms, one explicitly obtains all their global models.

Metadaten
Titel
Classification globale des formes différentielles transitives sur la sphère S5
verfasst von
Francisco Javier Turiel
Copyright-Jahr
1997
Verlag
Birkhäuser Boston
DOI
https://doi.org/10.1007/978-1-4612-4134-8_9