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Minimal surfaces in R3 with one end¶and bounded curvature (1998)

Rodríguez, Lucio ; Rosenberg, Harold

Springer

Manuscripta mathematica 96 (1998), S. 3-7

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ISSN: 1432-1785

Keywords: Mathematics Subject Classification (1991): 53A10, 53C42

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract: We study complete minimal surfaces M immersed in R 3, with finite topology and one end. We give conditions which oblige M to be conformally a compact Riemann surface punctured in one point, and we show that M can be parametrized by meromorphic data on this compact Riemann surface. The goal is to prove that when M is also embedded, then the end of M is asymptotic to an end of a helicoid (or M is a plane).

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/s002290050049

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