165

Kragujevac J. Math. 25 (2003) 165-169.

A NEW COHOMOLOGY ON SPECIAL KINDS OF COMPLEX MANIFOLDS

Kostadin Trencevski

Institute of Mathematics, St. Cyril and Methodius University,
P.O.Box 162, 1000 Skopje, Macedonia

Abstract. In this paper a new cohomology H^p,j,k on complex manifolds admitting flat linear connections is introduced. The new cohomology is constructed using that Y°Y = O for the operator Y introduced in [4]. This operator Y is a linear algebraic operator and does not contain any differentiation.