A construction of a complete bounded null curve in ${\mathbb{C}}^3$

Abstract

We construct a complete bounded immersed null holomorphic curve in C^3, which is a recovery of the previous version of the paper Calc. Var. and PDE's vol 36 (2009); Erratum: to appear in Calc. Var. and PDE's, doi:10.1007/s00526-009-0226-5 by the last three authors on this subject.

29 pages, 3 figures. The previous versions (arxiv:math/0603530v1--v6) contain mistakes. The version 7 is the recovery of them

References in corpus (2)

• Spacelike mean curvature one surfaces in de Sitter 3-space
• On the Calabi-Yau problem for maximal surfaces in L^3

Cited by in corpus (1)

• Complete bounded holomorphic curves immersed in C^2 with arbitrary genus