Abstract:In this work we construct non-holomorphic, complete and minimal submanifolds of the odd-dimensional complex projective spaces $\cn P^{2n-1}$ and their dual complex hyperbolic spaces $\cn H^{2n-1}$. We then provide complete minimal submanifolds of the quaternionic projective spaces $\hn P^{2n-1}$ and their dual quaternionic hyperbolic spaces $\hn H^{2n-1}$. All the constructed minimal submanifolds are of codimension two. Our main tools are complex-valued harmonic morphisms from the above mentioned ambient spaces.
From: Sigmundur Gudmundsson [view email]
[v1]
Tue, 5 May 2026 11:29:43 UTC (11 KB)
[v2]
Fri, 8 May 2026 17:32:06 UTC (11 KB)
[v3]
Thu, 25 Jun 2026 13:40:22 UTC (11 KB)
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