Gluing techniques and envelopes of disc functionals on almost complex manifolds
Complex Variables
2015-07-27 v4 Differential Geometry
Abstract
We establish plurisubharmonicity of the envelope of Poisson and Lelong functionals on almost complex manifolds. That is, we generalize the corresponding results for complex manifolds and almost complex manifolds of complex dimension two. We also provide some applications to the regularization of J-plurisubharmonic functions and to the characterization of compact psh-hulls by pseudoholomorphic discs.
Cite
@article{arxiv.1412.5468,
title = {Gluing techniques and envelopes of disc functionals on almost complex manifolds},
author = {Florian Bertrand and Uros Kuzman},
journal= {arXiv preprint arXiv:1412.5468},
year = {2015}
}
Comments
This paper has been withdrawn by the authors due to a mistake