A transversal Fredholm property for the $\bar\partial$-Neumann problem on $G$-bundles

Joe J. Perez

A transversal Fredholm property for the $\bar\partial$-Neumann problem on $G$-bundles

Complex Variables 2011-01-25 v1 Analysis of PDEs

Authors: Joe J. Perez

Abstract

Let $M$ be a strongly pseudoconvex complex $G$ -manifold with compact quotient $M/G$ . We provide a simple condition on forms $\alpha$ sufficient for the regular solvability of the equation $\square u=\alpha$ and other problems related to the $\bar\partial$ -Neumann problem on $M$ .

Keywords

$\bar\partial$-Neumann problem $G$-bundles strongly pseudoconvex manifold Fredholm property regular solvability

Cite

@article{arxiv.0912.4287,
  title  = {A transversal Fredholm property for the $\bar\partial$-Neumann problem on $G$-bundles},
  author = {Joe J. Perez},
  journal= {arXiv preprint arXiv:0912.4287},
  year   = {2011}
}

Comments

7 pages

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