Non-integrated defect relation for meromorphic maps from a Kähler manifold intersecting hypersurfaces in subgeneral of [formula omitted].

In this article, we establish a truncated non-integrated defect relation for meromorphic mappings from an m -dimensional complete Kähler manifold into P n ( C ) intersecting q hypersurfaces Q 1 , . . . , Q q in k -subgeneral position of degree d i , i.e., the intersection of any k + 1 hypersurfaces is emptyset. We will prove that ∑ i = 1 q δ f [ u − 1 ] ( Q i ) ≤ ( k − n + 1 ) ( n + 1 ) + ϵ + ρ u ( u − 1 ) d , where u is explicitly estimated and d is the least common multiple of d i ′ 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. [ABSTRACT FROM AUTHOR]