The space of totally real flat minimal surfaces in the Quaternionic projective space HP^3
Differential Geometry
2025-06-03 v2
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.
Keywords
Cite
@article{arxiv.2409.11931,
title = {The space of totally real flat minimal surfaces in the Quaternionic projective space HP^3},
author = {Chuzi Duan and Ling He},
journal= {arXiv preprint arXiv:2409.11931},
year = {2025}
}
Comments
18 pages, 1 figures