Non-integrated defect relation for meromorphic maps of complete Kähler manifolds into $\mathbb{P}^n(\mathbb{C})$ intersecting hypersurfaces

In this paper, we establish a non-integrated defect relation for a meromorphic map of a complete Kähler manifold whose universal covering is biholomorphic to a ball in $\mathbb{C}^m$ into $\mathbb{P}^n(\mathbb{C})$ intersecting hypersurfaces in general position, as well as an application to the Gauss map of a closed regular submanifold of $\mathbb{C}^m$. The result provides a complement to the recent result of Ru (2004) on a defect relation for meromorphic mappings from $\mathbb{C}^m$ into $\mathbb{P}^n(\mathbb{C})$ intersecting hypersurfaces in general position.