Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


Minimal surfaces in manifolds with $ S\sp 1$ actions and the simple loop conjecture for Seifert fibered spaces

Author: Joel Hass
Journal: Proc. Amer. Math. Soc. 99 (1987), 383-388
MSC: Primary 57N10; Secondary 53A10
MathSciNet review: 870806
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: The Simple Loop Conjecture for $ 3$-manifolds states that if a $ 2$-sided map from a surface to a $ 3$-manifold fails to inject on the fundamental group, then there is an essential simple loop in the kernel. This conjecture is solved in the case where the $ 3$-manifold is Seifert fibered. The techniques are geometric and involve studying least area surfaces and circle actions on Seifert Fibered Spaces.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 57N10, 53A10

Retrieve articles in all journals with MSC: 57N10, 53A10

Additional Information

PII: S 0002-9939(1987)0870806-7
Article copyright: © Copyright 1987 American Mathematical Society

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia