Non-integrated defect of meromorphic maps on Kähler manifolds

Abstract

The purpose of this article is twofold. The first is to establish a truncated non-integrated defect relation for meromorphic mappings from a complete Kahler manifold quotien of a ball into a projective variety intersecting hypersurfaces in subgeneral position. We also apply it to the Gauss mapping from a closed regular submanifold of $${\mathbb {C}}^m$$ . The second aim is to establish an above type theorem with truncation level 1 for differentiably nondegenerate meromorphic mappings.