The Gauss Map of Complete Minimal Surfaces with Finite Total Curvature
نویسندگان
چکیده
منابع مشابه
Complete Embedded Minimal Surfaces of Finite Total Curvature
2 Basic theory and the global Weierstrass representation 4 2.1 Finite total curvature . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 2.2 The example of Chen-Gackstatter . . . . . . . . . . . . . . . . . . . . . . . . 16 2.3 Embeddedness and finite total curvature: necessary conditions . . . . . . . 20 2.3.1 Flux . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ....
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1. Introduction. A natural class of minimal surfaces to study are the embedded mini mal surfaces — those which have no selfintersections as a subset of R 3. Of course, every point of a surface immersed in R 3 has a neighborhood which is embedded, so by itself this isn't a very interesting restriction. However, an embedded minimal surface pro duced in this way is clearly extendable and thus n...
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ژورنال
عنوان ژورنال: Anais da Academia Brasileira de Ciências
سال: 2013
ISSN: 0001-3765
DOI: 10.1590/0001-3765201376911