G. GANCHEV and S. IVANOV
Characteristic curvatures on complex Riemannian manifolds
Received: 5 February 1992
Mathematics Subject Classification: 53C56
Abstract We introduce the characteristic connection on a complex Riemannian manifold. In the class of complex Riemannian manifolds with holomorphic characteristic connection we study manifolds of pointwise constant characteristic holomorphic sectional curvatures and prove a classification theorem.