Almost complex totally geodesic surfaces in the nearly K\"ahler $\frac{\text{SL}(3,\mathbb R)}{\mathbb R\times \text{SO}(2)}$
Differential Geometry
2026-01-07 v1
Abstract
We give a detailed description of the nearly K\"ahler , which is one of the pseudo-Riemannian counterparts of the flag manifold . The main result is the classification of totally geodesic almost complex surfaces in this space.
Cite
@article{arxiv.2601.02733,
title = {Almost complex totally geodesic surfaces in the nearly K\"ahler $\frac{\text{SL}(3,\mathbb R)}{\mathbb R\times \text{SO}(2)}$},
author = {Mateo Anarella and Xiuxiu Cheng and Marie D'haene and Zejun Hu and Luc Vrancken},
journal= {arXiv preprint arXiv:2601.02733},
year = {2026}
}