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CARLSON–GRIFFITHS THEORY FOR COMPLETE KÄHLER MANIFOLDS
Published online by Cambridge University Press: 14 February 2022
Abstract
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.
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- Research Article
- Information
- Journal of the Institute of Mathematics of Jussieu , Volume 22 , Issue 5 , September 2023 , pp. 2337 - 2365
- Copyright
- © The Author(s), 2022. Published by Cambridge University Press
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