Compact oriented anti-invariant submanifolds of kaehlerian manifold

Anti-invariant (or totally real) submanifolds of Kaehlerian manifold have been studied by Blaer, Chen, Houh, Kon, Ludden Ogiue, Okumura, Yano and others. The purpose of this paper is to study a compact n-dimensional anti-invariant submanifold immersed in n-dimensional complex projective space ( ). First section contains some preliminaries and in section two we have pursued Kaehlerian manifold of dimension 2n and constant Holomorphic sectional curvature ( , ). Also some important theorems have been investigated. In third section we have discussed the compact oriented anti-invariant submanifold and its geodesic properties and obtained some results