The aim of this work is to answer a problem where many geometers have
worked on over the last few years, namely Question 9.2 in R.
Niebergall, P. J. Ryan, Real Hypersurfaces in Complex Space Forms,
Tight and Taut Submanifolds, MSRI Publications, Volume 32, 1997.
Specically, we construct new examples of real hypersurfaces with two
principal curvatures in complex projective and hyperbolic planes. We
also propose a geometric characterization of such examples....