The purpose of the present paper is to give an elementary method for the computation of the cohomology groups Hq(X,Ω^p X(L)), (0 ≤q ≤ n) of an n-dimensional non-primary Hopf manifold X with arbitrary fundamen...The purpose of the present paper is to give an elementary method for the computation of the cohomology groups Hq(X,Ω^p X(L)), (0 ≤q ≤ n) of an n-dimensional non-primary Hopf manifold X with arbitrary fundamental group. We use the method of Zhou to generalize the results for primary Hopf manifolds and non-primary Hopf manifold with an Abelian fundamental group.展开更多
基金supported by 973 Project Foundation of China and Outstanding Youth science Grant of NSFC(Grant No.19825105)
文摘The purpose of the present paper is to give an elementary method for the computation of the cohomology groups Hq(X,Ω^p X(L)), (0 ≤q ≤ n) of an n-dimensional non-primary Hopf manifold X with arbitrary fundamental group. We use the method of Zhou to generalize the results for primary Hopf manifolds and non-primary Hopf manifold with an Abelian fundamental group.