On the Moduli Space of Null Curves in Klein's Quadric

Abstract

We study the moduli space of null curves in Klein's quartic in the four-dimensional (complex) projective plane using methods developed by Robert Bryant. As a consequence, we show that minimal surfaces with $9$ embedded planar ends do not exist and formulate some conjectures about the previous moduli space.

25 pages

References in corpus (1)

• Higher Regularity of Weak Limits of Willmore Immersions I