Thomas Ivey

Cohomogeneity-one ruled hypersurfaces in CP2 and CH2

In this paper, we show how to construct a special class of ruled hypersurfaces in the nonflat complex space forms ℂ ⁢ ℙ 𝑛 and ℂ ⁢ H 𝑛 . This is done by taking an arbitrary smooth curve in a totally geodesic (complex) one-dimensional submanifold and erecting an orthogonal ruling o...