College of the Holy Cross

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20042026

most citedMeasurement of the neutrino mass splitting and flavor mixing by MINOS

265 citations

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math.DG2008★ 52 cited

Isoparametric and Dupin Hypersurfaces

Thomas E. Cecil

A hypersurface $M^{n - 1}$ in a real space-form $R^{n}$ , $S^{n}$ or $H^{n}$ is isoparametric if it has constant principal curvatures. For $R^{n}$ and $H^{n}$ , the classification of…

math.DG2004

Isoparametric hypersurfaces with four principal curvatures

Tom Cecil, Quo-Shin Chi, Gary Jensen

Let $M$ be an isoparametric hypersurface in the sphere $S^{n}$ with four distinct principal curvatures. Münzner showed that the four principal curvatures can have at most two distinc…