. D G ] 3 0 A pr 2 00 8 COMPACT COMPLETE PROPER MINIMAL IMMERSIONS IN STRICTLY CONVEX BOUNDED REGULAR DOMAINS
نویسنده
چکیده
Consider a strictly convex bounded regular domain C of R. In this paper we construct complete properly immersed in C minimal surfaces with boundary. Our examples have arbitrary finite topology. We also prove that complete properly immersed in C minimal surfaces with boundary are dense in the space of properly immersed in C minimal surfaces with boundary, endowed with the topology of the Hausdorff distance. 2000 Mathematics Subject Classification: Primary 53A10; Secondary 53C42, 49Q05, 49Q10.
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