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logarithmic derivative lemma

Journal of the Institute of Mathematics of Jussieu (1)

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CARLSON–GRIFFITHS THEORY FOR COMPLETE KÄHLER MANIFOLDS
Part of
- Holomorphic mappings and correspondences
- Entire and meromorphic functions, and related topics
Xianjing Dong
Journal:

Journal of the Institute of Mathematics of Jussieu / Volume 22 / Issue 5 / September 2023

Published online by Cambridge University Press:

14 February 2022, pp. 2337-2365

Print publication:

September 2023
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We investigate Carlson–Griffiths’ equidistribution theory of meormorphic mappings from a complete Kähler manifold into a complex projective algebraic manifold. By using a technique of Brownian motions developed by Atsuji, we obtain a second main theorem in Nevanlinna theory provided that the source manifold is of nonpositive sectional curvature. In particular, a defect relation follows if some growth condition is imposed.