THE CLASSIFICATION OF PHI-SYMMETRICAL SASAKIAN MANIFOLDS

A phi-symmetric space M is a complete connected regular Sasakian manif old, that fibers over an Hermitian symmetric space N. so that the geod esic involutions of N lift to define global(involutive) automorphisms of the Sasakian structure on M. In the present paper the complete clas sification of phi-symmetric spaces is obtained. The groups of automorp hisms of the Sasakian structures and the groups of isometrics of the u nderlying Riemannian metrics are determined. As a corollary, the Sasak ian space forms are also determined.