Nonintegrated 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), 11451162
MSC (2010):
Primary 32H30; Secondary 53A10
Published electronically:
October 24, 2011
MathSciNet review:
2869171
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Abstract: In this paper, we establish a nonintegrated 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:
http://dx.doi.org/10.1090/S000299472011055121
PII:
S 00029947(2011)055121
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 H982300910004 and H98230110201
Article copyright:
© Copyright 2011
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.
