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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

  • Johanna Marie Gegenfurtner,
  • Sigmundur Gudmundsson

摘要

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