Meromorphic mappings of a complete connected Kähler manifold into a projective space sharing hyperplanes

Abstract

ABSTRACT Let M be a complete Kähler manifold, whose universal covering is biholomorphic to a ball in (). In this article, we will show that if three meromorphic mappings of M into satisfying the condition and sharing hyperplanes in general position regardless of multiplicity with certain positive constants K and (explicitly estimated), then or or . Moreover, if the above three mappings share the hyperplanes with mutiplicity counted to level n + 1 then Our results generalize the finiteness and uniqueness theorems for meromorphic mappings of into sharing 2n + 2 hyperplanes in general position with truncated multiplicity.