CHARACTERIZATIONS OF HYPERSURFACES OF TYPE A₂ IN A COMPLEX PROJECTIVE SPACE

Abstract

In this paper, we characterize hypersurfaces of type A 2 in a complex projective space in terms of their geodesics.2000 Mathematics subject classification: 53B25, 53C40.

A~characterization of a~certain real hypersurface of type $({\rm A}_2)$ in a~complex projective space

“…(⇐) We first make use of Condition 2b) in the case of i = j. Our computation here is due to [3], [7]. Note thatγ ii (0) = v i .…”