In this paper, we prove a Second Main Theorem for holomorphic mappings in a disk whose image intersects some families of nonlinear hypersurfaces (totally geodesic hypersurfaces with respect to a meromorphic connection) in the complex projective space $\mathbb{P}^k$. This is a generalization of Cartan's Second Main Theorem. As a consequence, we establish a uniqueness theorem for holomorphic mappings which intersect $O(k^3)$ many totally geodesic hypersurfaces.
Jiaxing HUANG
,
Tuen Wai NG
. A UNIQUENESS THEOREM FOR HOLOMORPHIC MAPPINGS IN THE DISK SHARING TOTALLY GEODESIC HYPERSURFACES[J]. Acta mathematica scientia, Series B, 2022
, 42(4)
: 1631
-1644
.
DOI: 10.1007/s10473-022-0420-5
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