Classification results for totally real surfaces of nearly K\"ahler $\mathbb{C}P^3$
Differential Geometry
2025-04-10 v1
Abstract
Totally real surfaces in the nearly K\"ahler are investigated and are completely classified under various additional assumptions, resulting in multiple new examples. Among others, the classification includes totally real surfaces that are extrinsically homogeneous; or minimal; or totally umbilical; or Codazzi-like (including parallel and non-parallel examples).
Keywords
Cite
@article{arxiv.2504.07035,
title = {Classification results for totally real surfaces of nearly K\"ahler $\mathbb{C}P^3$},
author = {Michaël Liefsoens and Hui Ma and Luc Vrancken},
journal= {arXiv preprint arXiv:2504.07035},
year = {2025}
}