English

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

Differential Geometry 2013-01-03 v7 Complex Variables

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.

Cite

@article{arxiv.math/0603530,
  title  = {A construction of a complete bounded null curve in $\mathbb{C}^3$},
  author = {Leonor Ferrer and Francisco Martin and Masaaki Umehara and Kotaro Yamada},
  journal= {arXiv preprint arXiv:math/0603530},
  year   = {2013}
}

Comments

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

R2 v1 2026-07-22T17:33:13.976Z