The space of totally real flat minimal surfaces in the Quaternionic projective space HP^3
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866915314475728896 |
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| author | Duan, Chuzi He, Ling |
| author_facet | Duan, Chuzi He, Ling |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_11931 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The space of totally real flat minimal surfaces in the Quaternionic projective space HP^3 Duan, Chuzi He, Ling Differential Geometry 53C26, 53C42, 58D10 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. |
| title | The space of totally real flat minimal surfaces in the Quaternionic projective space HP^3 |
| topic | Differential Geometry 53C26, 53C42, 58D10 |
| url | https://arxiv.org/abs/2409.11931 |