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.
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Acknowledgments
This work was done during a stay of the author at Vietnam Institute for Advanced Study in Mathematics (VIASM). He would like to thank the institute for the support.
Disclosure statement
No potential conflict of interest was reported by the author(s).