Embedded minimal surfaces of finite topology
2019 ◽
Vol 2019
(753)
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pp. 159-191
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Keyword(s):
AbstractIn this paper we prove that a complete, embedded minimal surface M in {\mathbb{R}^{3}} with finite topology and compact boundary (possibly empty) is conformally a compact Riemann surface {\overline{M}} with boundary punctured in a finite number of interior points and that M can be represented in terms of meromorphic data on its conformal completion {\overline{M}}. In particular, we demonstrate that M is a minimal surface of finite type and describe how this property permits a classification of the asymptotic behavior of M.
1989 ◽
Vol 2
(4)
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pp. 667-667
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2007 ◽
Vol 2007
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pp. 1-29
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2002 ◽
Vol 74
(4)
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pp. 585-588
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2011 ◽
Vol 28
(1)
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pp. 145-170
1989 ◽
Vol 105
(3)
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pp. 706-706
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1994 ◽
Vol 209
(1)
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2021 ◽
Vol 29
(6)
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pp. 835-850
Keyword(s):
Keyword(s):