ON COHOMOLOGY OF INFINITESIMAL NEIGHBOURHOODS OF COMPLEX MANIFOLDS

In this paper,we introduce the concept of the（k,l）-th C∞ infinitesimal neighbour-hoods of complex manifold M and difine defferential modules M,k-p,l-qp,q and M,k,lr forthe（k,l）-th C∞ infinitesimal neighbourhoods.We prove some isomorphism theorems ofcohomology and hyper cohomology concerning M,k-pp and M,k-p,as followsHp(M,M,k-rr)≈H<sup>p(M,M,k-r,l-*r,*,Hp(M,M,k,l*)≈HDRp（M,C）and for hyper cohomologyHp(M,M,k-**≈Hp（M,C）,Hp(M,M,k-**)≈Hp（M,OM）.