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Blaschke isoparametric hypersurfaces in the conformal space \(\mathbb Q_1^{n+1}\). I. (English) Zbl 1330.53018

Summary: Let \(x:\mathbf{M} \to \mathbb Q_1^{n+1}\) be a regular hypersurface in the conformal space \(\mathbb Q_1^{n+1}\). We classify all space-like Blaschke isoparametric hypersurfaces with two distinct Blaschke eigenvalues in the conformal space up to the conformal equivalence.

MSC:

53A30 Conformal differential geometry (MSC2010)
53B25 Local submanifolds
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