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arXiv · 2504.07035

Classification results for totally real surfaces of nearly K\"ahler $\mathbb{C}P^3$

Michaël Liefsoens·Hui Ma·Luc Vrancken
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Abstract

Totally real surfaces in the nearly K\"ahler $\mathbb{C}P^3$ 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).

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Michaël Liefsoens, Hui Ma, Luc Vrancken. 2025-04-09. Classification results for totally real surfaces of nearly K\"ahler $\mathbb{C}P^3$. https://arxiv.org/abs/2504.07035

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