A foliation of the ball by complete holomorphic discs

Abstract

We show that the open unit ball ${\mathbb{B}}^n$ of ${\mathbb{C}}^n$ $(n>1)$ admits a nonsingular holomorphic foliation by complete properly embedded holomorphic discs.

6 pages

Cited by in corpus (5)

• The first thirty years of Andersen-Lempert theory
• Holomorphic Legendrian curves in ${\mathbb{CP}}^3$ and superminimal surfaces in ${\mathbb{S}}^4$
• Wild holomorphic foliations of the ball
• Complete nonsingular holomorphic foliations on Stein manifolds
• Foliations on the open $3$-ball by complete surfaces