Abstract:
The geometry of anti-invariant submanifolds of a complex space form with positive definite metric was studied by Chen-Ogiue [2], Yano-Kon [6] and others. In this paper we study the geometry of indefinite anti-invariant submanifolds of an indefinite complex space. We found that if the submanifold is a timelike, spacelike or mixedlike totally geodesic then it is an Einstein submanifold. Moreover, if the submanifold is a proper indefinite anti- invariant Einstein submanifold then it is a totally geodesic submanifold of c constant curvature -. 4
