Complete Minimal Submanifolds of the Non-Compact Duals to the Classical Compact Lie Groups

Thomas Jack Munn

Complete Minimal Submanifolds of the Non-Compact Duals to the Classical Compact Lie Groups

Differential Geometry 2026-08-04 v1

Authors: Thomas Jack Munn

Abstract

We construct new families of complete minimal submanifolds of codimension two in the non-compact duals to the classical compact Lie groups $\SOC n/\SO n$ , $\SLC n/\SU n$ and $\SpC n/\Sp n$ .

Keywords

minimal submanifolds non-compact duals classical compact Lie groups codimension two complete submanifolds

Cite

@article{arxiv.2608.03354,
  title  = {Complete Minimal Submanifolds of the Non-Compact Duals to the Classical Compact Lie Groups},
  author = {Thomas Jack Munn},
  journal= {arXiv preprint arXiv:2608.03354},
  year   = {2026}
}