Non-integrated defect relation and uniqueness theorem for meromorphic mappings on Kähler manifolds

Abstract

Let [Formula: see text] be a complete Kähler manifold, whose universal covering is biholomorphic to a ball [Formula: see text] in [Formula: see text] ([Formula: see text]). The first purpose of this paper is to establish non-integrated defect relations for linearly non-degenerate meromorphic mappings intersecting a family of hyperplanes in subgeneral position. Also, the defect relation for the mappings with only one hypersurface, which is the sum of some hyperplanes, is considered. Our second aim is to establish a uniqueness theorem for two meromorphic mappings sharing such family of hyperplanes. Our results generalize and improve the previous results in this area.