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arXiv:math/0205304 [math.DG]AbstractReferencesReviewsResources

Properness of minimal surfaces with bounded curvature

G. Pacelli Bessa, Luquesio P. Jorge

Published 2002-05-28Version 1

We show that immersed minimal surfaces of $\mathbb{R}^{3}$ with bounded curvature and proper self intersections are proper. We also show that the restriction of the immersing map to a wide component is always proper. When the immersing map is injective the whole surface is a wide component. Prior to these results it was only known that injectively immersed minimal surfaces with bounded curvature were proper.

Comments: Short paper, (4 pages), writen in ams-latex
Journal: An. Acad. Bras. Cienc., Sept 2003, vol.75, no.3, p.279-284.
Categories: math.DG, math.MG
Subjects: 53C42, 53C21
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