四元投影空间 HP^3 中的全实平面极小曲面空间

arXiv - MATH - Differential Geometry Pub Date : 2024-09-18 DOI:arxiv-2409.11931

Chuzi Duan, Ling He

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引用次数: 0

摘要

我们证明了从复平面 C 到 HP^3 的所有不位于 CP^3 中的非共线性全实平面极小浸入的模空间有三个部分，每个部分都是实维度为 6 的流形。作为应用，我们给出了HP^3 中不位于CP^3 的所有非共轭线性完全实平坦极小环的模空间的描述。

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The space of totally real flat minimal surfaces in the Quaternionic projective space HP^3

We prove that the moduli space of all noncongruent linearly full totally real flat minimal immersions from the complex plane C into HP^3 that do not lie in CP^3 has three components, each of which is a manifold of real dimension 6. As an application, we give a description of the moduli space of all noncongruent linearly full totally real flat minimal tori in HP^3 that do not lie in CP^3.

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arXiv - MATH - Differential Geometry

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