Nevanlinna Theory on Complete K\"ahler Connected Sums With Non-parabolic
Ends
Nevanlinna Theory on Complete K\"ahler Connected Sums With Non-parabolic
Ends
Motivated by invalidness of Liouville property for harmonic functions on the connected sum $\#^\vartheta\mathbb C^m$ with $\vartheta\geq2,$ we study Nevanlinna theory on a complete K\"ahler connected sum $$M=M_1\#\cdots\# M_\vartheta$$ with $\vartheta$ non-parabolic ends. Based on the global Green function method, we extend the second main theorem of meromorphic mappings to …