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

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 $M$.

7 pages

Cited by in corpus (1)

• Heat kernel estimates for the $\bar{\partial }$-Neumann problem on $G$-manifolds