Real submanifolds of codimension two of a complex space form

Abstract

We prove some classification theorems for real submanifolds of codimension two of a complex space form under the condition that h(F X, Y) + h(X, F Y) = 0, where h is the second fundamental form of the submanifold and F is the endomorphism induced from the almost complex structure J on the tangent bundle of the submanifold. © 2012 Elsevier B.V.