Surfaces of the nearly Kähler S3×S3${\bf \mathbb {S}^3\times \mathbb {S}^3}$ preserved by the almost product structure

Miroslava Antić, Zejun Hu, Marilena Moruz and Luc Vrancken

Mathematische Nachrichten, 2021, vol. 294, issue 12, 2286-2301

Abstract: The product manifold S3×S3$\mathbb {S}^3\times \mathbb {S}^3$ is one of the only four homogeneous six‐dimensional nearly Kähler manifolds. It also admits a canonical almost product structure P, which is compatible with the almost complex structure (see Bolton et al., Tôhoku Math. J. 67 (2015), 1–17, and Moruz and Vrancken, Publ. Inst. Math. 103 (2018), no. 117, 147–158). In this paper, we investigate and describe the two‐dimensional surfaces of S3×S3$\mathbb {S}^3\times \mathbb {S}^3$ which are P‐invariant.

Date: 2021
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