The space of totally real flat minimal surfaces in the Quaternionic projective space HP3
Abstract
We prove that the moduli space of all noncongruent linearly full totally real flat minimal immersions from the complex plane C into HP3 that do not lie in CP3 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 HP3 that do not lie in CP3.
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