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| Natura: | Artículo científico |
| Lingua: | en |
| Pubblicazione: |
Academia Brasileira de Ciências
2013
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| Accesso online: | https://www.redalyc.org/articulo.oa?id=32729375002 |
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Sommario:
- The Gauss Map of Complete Minimal Surfaces with Finite Total Curvature PEDRO A. HINOJOSA GILVANEIDE N. SILVA Multidisciplinaria (Ciencias Naturales y Exactas) Gauss map minimal surfaces Finite total curvature Image of the Gauss map In this paper we are concerned with the image of the normal Gauss map of a minimal surface immersed in R 3 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 in R 3 with finite total curvature, which is not a plane, omits at most three points o f S 2 . Moreover, under an additional hypothesis on the type of ends, we prove that this number is exactly 2. 2013 artículo científico 0001-3765 https://www.redalyc.org/articulo.oa?id=32729375002 en http://www.redalyc.org/revista.oa?id=327 Anais da Academia Brasileira de Ciências application/pdf Academia Brasileira de Ciências Anais da Academia Brasileira de Ciências (Brasil) Num.4 Vol.85