The Gauss Map of Complete Minimal Surfaces with Finite Total Curvature
In this paper we are concerned with the image of the normal Gauss map of a minimal surface immersed in ℝ3 with finite total curvature. We give a different proof of the following theorem of R. Osserman:The normal Gauss map of a minimal surface immersed inℝ3with finite total curvature, which is not a plane, omits at most three points of��2Moreover, under an additional hypothesis on the type of ends, we prove that this number is exactly 2.
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| Main Authors: | , |
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| Format: | Digital revista |
| Language: | English |
| Published: |
Academia Brasileira de Ciências
2013
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| Online Access: | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652013000401217 |
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