Hostname: page-component-77c89778f8-cnmwb Total loading time: 0 Render date: 2024-07-18T11:40:16.128Z Has data issue: false hasContentIssue false
  • English
  • Français

Structure presque-transverse intégrable

Published online by Cambridge University Press:  17 April 2009

Tong Van Duc
Tong Van Duc
Affiliation:
Laboratoire de Mathématiques, Institute Fourier, Université de Grenoble I, B.P. 74, 38402 Saint-Martin d'heres, Cedex, France.
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We find conditions for which a manifold endowed with an integrable almost transversal structure is the total space of a vector bundle isomorphic to the transversal bundle of a foliation.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 37 , Issue 2 , April 1988 , pp. 173 - 177
Copyright
Copyright © Australian Mathematical Society 1988

References

[1]Brickell, F. and Clark, R.S., ‘Integrable almost tangent structures’, J. Diff. Geom 9 (1974), 557–563.Google Scholar
[2]Crampin, M. and Thompson, G., ‘Affine bundles and integrable almost tangent structures’, Math. Pasc. Cambr. Phil. Soc. 98 (1985), 61–71.CrossRefGoogle Scholar
[3]Duc, T.V., ‘Structure presque-transverse’, J. Diff. Geom. 14 (1979), 215–219.Google Scholar
[4]Duc, T.V., ‘Structure presque tangente sur le fibré transverse’, preprint.Google Scholar
[5]Thompson, G., ‘Integrable almost cotangents structures and legendrian bundles’, Math. Proc. Cambr. Phil. Soc. 101 (1987), 61–78.CrossRefGoogle Scholar