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Mathematical Sciences • An. Acad. Bras. Ciênc. 75 (3) • Sept 2003 • https://doi.org/10.1590/S0001-37652003000300003 linkcopy

Open-access On properness of minimal surfaces with bounded curvature

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Abstract

We show that immersed minimal surfaces in the euclidean 3-space with bounded curvature and proper self intersections are proper. We also showthat restricted to wide components the immersing map is always proper, regardless the map being proper or not. Prior to these results it was only known that injectively immersed minimal surfaces with bounded curvature were proper.

Proper immersion; bounded curvature; proper self intersections

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