Abstract
In this work we study the global models of a r-form ω, on the sphere S 5, which is transitive, i.e. we assume that for each p Є S 5 and each υ Є T P S 5 there exists a vector field X on S 5 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.
Projet de recherche DGICYT PB94-1485
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Références
C. Allday et S. Halperin, Lie group actions on spaces of finite rank, Quar. J. Math. Oxford Ser. 28 (1978), 69–76.
E. Ghys, Feuilletages riemanniens sur les variétés simplement connexes, Anal. Inst. Fourier 34 (4) (1984), 203–223.
J. Eells et N.H. Kuiper, Manifolds which are like projective planes, Publ. Mat. I.H.E.S. 14 (1962), 181–222.
M.H. Freedman et F. Quinn, Topology of 4-manifolds, Princeton Univ. Press, Princeton, New Jersey, 1990.
M. Gromov, Peudo-holomorphic curves in symplectic manifolds, Invent. Math. 82 (1985), 307–347.
P. Molino, Riemannian Foliations, Birkhâuser, Basel, Progress in Math. 73, 1988.
C.H. Taubes, The Seiberg-Witten and the Gromov invariants, Math. Res. Letters 2 (1995), 221–238.
C.H. Taubes, SW ⇒ Gr. From the Seiberg-Witten equations to pseudoholomorphic curves, (preprint).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1997 Birkhäuser Boston
About this paper
Cite this paper
Turiel, F.J. (1997). Classification globale des formes différentielles transitives sur la sphère S5 . In: Albert, C., Brouzet, R., Dufour, J.P. (eds) Integrable Systems and Foliations. Progress in Mathematics, vol 145. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-4134-8_9
Download citation
DOI: https://doi.org/10.1007/978-1-4612-4134-8_9
Publisher Name: Birkhäuser Boston
Print ISBN: 978-1-4612-8668-4
Online ISBN: 978-1-4612-4134-8
eBook Packages: Springer Book Archive