CERTAIN CLASS OF CONTACT CR-SUBMANIFOLDS OF AN ODD-DIMENSIONAL UNIT SPHERE

摘要

In this paper we investigate (n + 1)(n ≥ 5)-dimensional contactCR-submanifolds M of (n- 1) contact CR-dimension in a (2m + 1)-dimensional unit sphere S~(2m+1) which satisfy the condition h(FX,Y)— h(X,FY) = g(FX, Y ) for a normal vector field to M, where hand F denote the second fundamental form and a skew-symmetric endomorphism (defined by (2.3)) acting on tangent space of M, espectively.