G. GANCHEV and S. IVANOV

Characteristic curvatures on complex Riemannian manifolds

Pages: 155-162
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.