Communications of the
Korean Mathematical Society CKMS

Our study focuses on the condition under which a subspace of complex projective space can become an Einstein space. We prove that a subspace becomes an Einstein space if it's codimension is less than $n-1$ and its curvature tensor and Ricci tensor satisfies Ryan's condition.

Keywords: Kaehler submanifolds, Kaehler immersion, complex projective space, complex hypersurfaces

MSC numbers: 53B10, 53B35