# Non-integrated defect of meromorphic maps on Kähler manifolds

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## Abstract

The purpose of this article is twofold. The first is to establish a truncated non-integrated defect relation for meromorphic mappings from a complete Kähler manifold quotien of a ball into a projective variety intersecting hypersurfaces in subgeneral position. We also apply it to the Gauss mapping from a closed regular submanifold of \({\mathbb {C}}^m\). The second aim is to establish an above type theorem with truncation level 1 for differentiably nondegenerate meromorphic mappings.

## Keywords

Nevanlinna theory Second main theorem Meromorphic mapping Non-integrated defect relation## Mathematics Subject Classification

Primary 32H30 32A22 Secondary 30D35## References

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