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Classification of homogeneous hypersurfaces in some noncompact symmetric spaces of rank two (2109.14399v2)

Published 29 Sep 2021 in math.DG

Abstract: We classify, up to isometric congruence, the homogeneous hypersurfaces in the Riemannian symmetric spaces $\mathrm{SL}(3,\mathbb{H})/\mathrm{Sp}(3), \hspace{1pt} \mathrm{SO}(5,\mathbb{C})/\mathrm{SO}(5),$ and $\mathrm{Gr}*(2,\mathbb{C}{n+4}) = \mathrm{SU}(n+2,2)/\mathrm{S}(\mathrm{U}(n+2)\mathrm{U}(2)), \, n \geqslant 1$.

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