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Cecil–Jensen conjecture for four-curvature proper Dupin hypersurfaces
Let $M$ be an irreducible connected proper Dupin hypersurface in $S^n$ with four principal curvatures. Suppose their multiplicities satisfy $m_1=m_2$ and $m_3=m_4$ , and let $\Psi$ …
Conjectureopendupinsubmanifolds isoparametric-hypersurfaces lie-sphere-geometryarXiv posted 2 days ago

Cecil–Jensen conjecture for four-curvature proper Dupin hypersurfaces