Patrick J. Ryan

activity

20242026

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math.DG2026

Cohomogeneity-One Ruled Hypersurfaces in $CP^{2}$ and $C H^{2}$

Thomas A. Ivey, Patrick J. Ryan

In this paper, we show how to construct a special class of ruled hypersurfaces in the nonflat complex space forms $CP^{n}$ and $C H^{n}$ . This is done by taking an arb…

math.DG2026

On Cartan's Examples of Isoparametric Hypersurfaces and Their Focal Submanifolds

Thomas E. Cecil, Patrick J. Ryan

This paper is a survey of Cartan's examples of isoparametric hypersurfaces in spheres and their focal submanifolds that were described in his fundamental work on the subject, which…

Cohomogeneity-One Ruled Hypersurfaces in CP2 and CH2

On Cartan's Examples of Isoparametric Hypersurfaces and Their Focal Submanifolds

Cohomogeneity-One Ruled Hypersurfaces in $CP^{2}$ and $C H^{2}$