Skip Navigation

Journal of the London Mathematical Society 2001 63(2):501-512; doi:10.1017/S0024610700001836
© 2001 by London Mathematical Society
This Article
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Boileau, M.
Right arrow Articles by Otal, J.-P.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© The London Mathematical Society

Scindements de Heegaard des Variétés de Seifert Elliptiques et Euclidiennes

M. Boileau and J.-P. Otal

Laboratoire E. Picard, Université Paul Sabatier UMR 5580, 118 route de Narbonne, 31062 Toulouse Cédex, France
Laboratoire de Mathématiques, École Normale Supérieure de Lyon UMR 0128, 46 allée d'Italie, 69364 Lyon Cédex, France

Received 12 February 1996. Revision received 20 October 1997.

It is proved that there is, up to isotopy, a unique irreducible Heegaard splitting in an orientable, closed, connected Seifert 3-manifold with an orientable elliptical or euclidean orbifold basis. Using Hamilton's and Lawson's results, the topological uniqueness is obtained of closed orientable minimal surfaces of a given genus g ≥ 2, embedded in a closed orientable Riemannian 3-manifold with strictly positive Ricci curvature.


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer:
Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.