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arXiv · 2409.11931

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

Chuzi Duan·Ling He
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Abstract

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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Chuzi Duan, Ling He. 2024-09-18. The space of totally real flat minimal surfaces in the Quaternionic projective space HP^3. https://arxiv.org/abs/2409.11931

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