New diagonal family plus decomposition theorem reduces cohomogeneity-one actions on mixed symmetric spaces to single-type cases.
and Pipoli, G.,Isoparametric hypersurfaces in products of simply connected space forms, Preprint (available at arXiv 2511.12527v1 [math,DG])
3 Pith papers cite this work. Polarity classification is still indexing.
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Hypersurfaces in class A of Q_c1^k × Q_c2^{n-k+1} are constructed from parallel families of hypersurfaces in the factors, with CMC cases reduced to isoparametric families plus a second-order ODE.
Classification of homogeneous hypersurfaces in Sol₁⁴, Sol_{m,n}⁴ and Nil⁴.
citing papers explorer
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Cohomogeneity one actions on symmetric spaces of mixed type
New diagonal family plus decomposition theorem reduces cohomogeneity-one actions on mixed symmetric spaces to single-type cases.
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On a class of hypersurfaces of a product of two space forms
Hypersurfaces in class A of Q_c1^k × Q_c2^{n-k+1} are constructed from parallel families of hypersurfaces in the factors, with CMC cases reduced to isoparametric families plus a second-order ODE.
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Homogeneous hypersurfaces of the four-dimensional Thurston geometries $\mathrm{Sol}_1^4$, $\mathrm{Sol}_{m,n}^4$ and $\mathrm{Nil}^4$
Classification of homogeneous hypersurfaces in Sol₁⁴, Sol_{m,n}⁴ and Nil⁴.