We have studied contact metric hypersurfaces of a Bochner-Kaehler manifold and obtained the following two results: (1) A contact metric constant mean curvature (C M C) hypersurface of a Bochner-Kaehler manifold is a (k, µ)-contact manifold, and (2) If M is a compact contact metric C M C hypersurface of a Bochner-Kaehler manifold with a conformal vector field V that is neither tangential nor normal anywhere, then it is totally umbilical and Sasakian, and under certain conditions on V , is isometric to a unit sphere.
Ghosh, Amalendu and Sharma, Ramesh, "Contact Hypersurfaces of a Bochner-Kaehler Manifold" (2013). Mathematics Faculty Publications. 1.
Ghosh, A. & Sharma, R. (2013). Contact hypersurfaces of a Bochner-Kaehler manifold. Results in Mathematics, 64, 155-163. doi: 10.1007/s00025-013-0305-y