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).