NewEvery arXiv paper, its researchers & institutions — mapped.
paper

Low-dimensional totally geodesic submanifolds in "skew" position in the symmetric spaces of rank 2

arXiv:1710.10965

Abstract

We use the Cartan representations of $SO(3)$ and $SU(3)$, and an irreducible 14-dimensional representation of $Sp(3)$ to construct certain totally geodesic submanifolds in "skew" position in the complex quadrics, the complex 2-Grassmannians and the quaternionic 2-Grassmannians.

10 pages