Compact minimal submanifolds of the Riemannian symmetric spaces \({{\textbf {S}}U}(n)/\textbf{SO}(n)\), \({{\textbf {S}}p}(n)/{{\textbf {U}}}(n)\), \(\textbf{SO}(2n)/{{\textbf {U}}}(n)\), \({{\textbf {S}}U}(2n)/{{\textbf {S}}p}(n)\) via complex-valued eigenfunctions

Abstract

In this work we construct new multi-dimensional families of compact minimal submanifolds of the classical Riemannian symmetric spaces \({{\textbf {S}}U}(n)/\textbf{SO}(n)\), \({{\textbf {S}}p}(n)/{{\textbf {U}}}(n)\), \(\textbf{SO}(2n)/{{\textbf {U}}}(n)\) and \({{\textbf {S}}U}(2n)/{{\textbf {S}}p}(n)\) of codimension two.