# A foliation of the ball by complete holomorphic discs

## TL;DR

This paper proves that the complex unit ball in higher dimensions can be smoothly divided into complete, properly embedded holomorphic discs, revealing new geometric structures within complex analysis.

## Contribution

It introduces a novel foliation of the complex ball by complete holomorphic discs, expanding understanding of complex geometric structures.

## Key findings

- Existence of a nonsingular holomorphic foliation of the ball
- Discs are complete and properly embedded
- Provides new insights into complex geometric structures

## 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.