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

 

On uniqueness of Riemann's examples


Authors: Yi Fang and Fusheng Wei
Journal: Proc. Amer. Math. Soc. 126 (1998), 1531-1539
MSC (1991): Primary 53A10; Secondary 35P99
MathSciNet review: 1459120
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Abstract: We prove that a properly embedded minimal annulus with one flat end, bounded in a slab by lines or circles, is a part of a Riemann's example.


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Additional Information

Yi Fang
Affiliation: Centre for Mathematics and its Applications \ School of Mathematical Sciences\ Australian National University\ Canberra, ACT 0200, Australia
Email: yi@maths.anu.edu.au

Fusheng Wei
Affiliation: Department of Mathematics, \ Virginia Polytechnic Institute and State University \ Blacksburg, Virginia 24061-0123
Email: fwei@calvin.math.vt.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-98-04441-4
PII: S 0002-9939(98)04441-4
Received by editor(s): October 21, 1996
Additional Notes: The first author is supported by the Australian Research Council.
Communicated by: Peter Li
Article copyright: © Copyright 1998 American Mathematical Society