College of the Holy Cross

most citedIsoparametric and Dupin Hypersurfaces

52 citations

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Washington University in St. LouisUS1 paper

4 papers

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…

astro-ph2007★ 11 cited

Exploring the X-ray spectral variability of MCG-6-30-15 with XMM-Newton

J. Larsson, A. C. Fabian, G. Miniutti +1

We present a study of the spectral variability of the Seyfert I galaxy MCG-6-30-15 based on the two long XMM-Newton observations from 2000 and 2001. The X-ray spectrum and variabil…

math.CO2004

Determinants Associated to Zeta Matrices of Posets

Cristina M. Ballantine, Sharon M. Frechette, John B. Little

We consider the matrix $Z_{P} = Z_{P} + Z_{P}^{t}$ , where the entries of $Z_{P}$ are the values of the zeta function of the finite poset $P$ . We give a combinatorial interpretation of th…

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…