Non-integrated defect relation for meromorphic maps from a Kähler manifold intersecting hypersurfaces in subgeneral of Pn(C)

In this article, we establish a truncated non-integrated defect relation for meromorphic mappings from an m-dimensional complete Kähler manifold into Pn(C) intersecting q hypersurfaces Q1,...,Qq in k-subgeneral position of degree di, i.e., the intersection of any k+1 hypersurfaces is emptyset. We will prove that∑i=1qδf[u−1](Qi)≤(k−n+1)(n+1)+ϵ+ρu(u−1)d, where u is explicitly estimated and d is the least common multiple of di′s. Our result generalizes and improves previous results. In the last part of this paper we will apply this result to study the distribution of the Gauss map of minimal surfaces.