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A note on the geometry of pseudoconvex domains of finite type in almost complex manifolds


Author: Florian Bertrand
Journal: Proc. Amer. Math. Soc. 140 (2012), 1633-1641
MSC (2000): Primary 32Q60, 32T25, 32T40, 32Q45, 32Q65
Published electronically: August 19, 2011
MathSciNet review: 2869148
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Abstract: Let $ D=\{\rho<0\}$ be a smooth domain of finite type in an almost complex manifold $ (M,J)$ of real dimension four. We assume that the defining function $ \rho$ is $ J$-plurisubharmonic on a neighborhood of $ \overline{D}$. We study the asymptotic behavior of pseudoholomorphic discs contained in the domain $ D$.


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Additional Information

Florian Bertrand
Affiliation: Department of Mathematics, University of Wisconsin, 480 Lincoln Drive, Madison, Wisconsin 53706
Email: bertrand@math.wisc.edu

DOI: https://doi.org/10.1090/S0002-9939-2011-11016-5
Keywords: Almost complex structure, Kobayashi pseudometric, D’Angelo type
Received by editor(s): August 17, 2010
Received by editor(s) in revised form: January 11, 2011
Published electronically: August 19, 2011
Communicated by: Franc Forsternic
Article copyright: © Copyright 2011 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.