Poincar\'e-Lelong formula, $J$-analytic subsets and Lelong numbers of currents on almost complex manifolds
Complex Variables
2012-11-02 v1
Abstract
In this paper, we first establish a Poincar\'e-Lelong type formula in the almost complex setting. Then, after introducing the notion of -analytic subsets, we study the restriction of a closed positive current defined in an almost complex manifold on a -analytic subset. Finally, we prove that the Lelong numbers of a plurisubharmonic current defined on an almost complex manifold are independent of the coordinate systems.
Keywords
Cite
@article{arxiv.1211.0106,
title = {Poincar\'e-Lelong formula, $J$-analytic subsets and Lelong numbers of currents on almost complex manifolds},
author = {Fredj Elkhadhra},
journal= {arXiv preprint arXiv:1211.0106},
year = {2012}
}