Isometric deformations of pseudoholomorphic curves in the nearly K{\"a}hler sphere $\mathbb{S}^6$

Amalia-Sofia Tsouri

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arXiv · 2208.01686

Isometric deformations of pseudoholomorphic curves in the nearly K{\"a}hler sphere $\mathbb{S}^6$

Amalia-Sofia Tsouri

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Abstract

The aim of the paper is to investigate the rigidity and the deformability of pseudoholomorphic curves in the nearly K{\"a}hler sphere $\mathbb{S}^6,$ among minimal surfaces in spheres. Under various assumptions we describe the moduli space of all noncongruent minimal surfaces $f\colon M\to\mathbb{S}^n$ that are isometric to a pseudoholomorphic curve in $\mathbb{S}^6.$ Moreover, we prove a Schur type theorem (see \cite[p. 36]{Chnew}) for minimal surfaces in spheres.

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BibTeX RIS

Amalia-Sofia Tsouri. 2022-08-02. Isometric deformations of pseudoholomorphic curves in the nearly K{\"a}hler sphere $\mathbb{S}^6$. https://arxiv.org/abs/2208.01686

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