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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Least area tori in $3$-manifolds
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by G. P. Scott and G. A. Swarup PDF
Proc. Amer. Math. Soc. 116 (1992), 1143-1151 Request permission

Abstract:

We consider incompressible maps of the torus into a $3$-manifold that have least possible area among all such maps. We show that such a map must be an embedding in many cases.
References
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Additional Information
  • © Copyright 1992 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 116 (1992), 1143-1151
  • MSC: Primary 57N10; Secondary 53A10, 53C42
  • DOI: https://doi.org/10.1090/S0002-9939-1992-1131040-0
  • MathSciNet review: 1131040