Compact minimal submanifolds of the Riemannian symmetric spaces SU(n)/SO(n), Sp(n)/U(n), SO(2n)/U(n), SU(2n)/Sp(n) via complex-valued eigenfunctions

2024/05/06 by Johanna Marie Gegenfurtner, Gegenfurtner, Johanna Marie, Sigmundur Gudmundsson +1 · 1 citation
Mathematics · #53C35 #53C43 #58E20 #Advanced Algebra and Geometry #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2405.03412

openalex publication_date 2024/05/06 · openalex created_date 2024/05/10 · openalex updated_date 2026/07/28

Abstract

In this work we construct new multi-dimensional families of compact minimal submanifolds, of the classical Riemannian symmetric spaces SU(n)/SO(n), Sp(n)/U(n), SO(2n)/U(n) and SU(2n)/Sp(n), of codimension two.

Cited by

• Complete Minimal Submanifolds of the Non-Compact Duals to the Classical Compact Lie Groups

Related

• Minimal Submanifolds of the Classical Compact Riemannian Symmetric Spaces
• Minimal Submanifolds via Complex-Valued Eigenfunctions
• Explicit proper p-harmonic functions on the Riemannian symmetric spaces SU(n)/SO(n), Sp(n)/U(n), SO(2n)/U(n), SU(2n)/Sp(n)
• Minimal submanifolds in spheres and complex-valued eigenfunctions
• A class of complete embedded minimal submanifolds in noncompact symmetric spaces