2025/03/07 by Dong, Xianjing
#32H30 #Complex Variables (math.CV) #FOS: Mathematics
paper · doi:10.48550/arxiv.2503.05090
How to devise a second main theorem with best error terms is a central problem in the study of Nevanlinna theory. However, it seems difficult to be done for a general non-positively curved Kähler manifold. Based on the work of A. Atsuji in Nevanlinna theory, we present a refined form of the second main theorem of meromorphic mappings on a general complete Kähler manifold with non-positive sectional curvature using a good estimate. This result improves the error terms in the second main theorem obtained by A. Atsuji in 2018.