Non-integrated defect relation for meromorphic maps of complete Kähler manifolds into intersecting hypersurfaces

Authors:
Min Ru and Suraizou Sogome

Journal:
Trans. Amer. Math. Soc. **364** (2012), 1145-1162

MSC (2010):
Primary 32H30; Secondary 53A10

DOI:
https://doi.org/10.1090/S0002-9947-2011-05512-1

Published electronically:
October 24, 2011

MathSciNet review:
2869171

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Abstract: In this paper, we establish a non-integrated defect relation for a meromorphic map of a complete Kähler manifold whose universal covering is biholomorphic to a ball in into intersecting hypersurfaces in general position, as well as an application to the Gauss map of a closed regular submanifold of . The result provides a complement to the recent result of Ru (2004) on a defect relation for meromorphic mappings from into intersecting hypersurfaces in general position.

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Additional Information

**Min Ru**

Affiliation:
Department of Mathematics, University of Houston, Houston, Texas 77204

Email:
minru@math.uh.edu

**Suraizou Sogome**

Affiliation:
Department of Mathematics, University of Houston, Houston, Texas 77204

Email:
ssogome@math.uh.edu

DOI:
https://doi.org/10.1090/S0002-9947-2011-05512-1

Keywords:
Meromorphic mappings,
Gauss map of minimal surfaces,
defect relation,
Nevanlinna theory

Received by editor(s):
January 26, 2010

Published electronically:
October 24, 2011

Additional Notes:
The first author was supported in part by NSA under grant number H98230-09-1-0004 and H98230-11-0201

Article copyright:
© Copyright 2011
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.