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

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  • Miroslava Antić
  • Zejun Hu
  • Marilena Moruz
  • Luc Vrancken

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.

Suggested Citation

  • Miroslava Antić & Zejun Hu & Marilena Moruz & Luc Vrancken, 2021. "Surfaces of the nearly Kähler S3×S3${\bf \mathbb {S}^3\times \mathbb {S}^3}$ preserved by the almost product structure," Mathematische Nachrichten, Wiley Blackwell, vol. 294(12), pages 2286-2301, December.
    • Handle: RePEc:bla:mathna:v:294:y:2021:i:12:p:2286-2301
    DOI: 10.1002/mana.201900376
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