Let be a compact manifold of -codimension and -dimension in a complex manifold of complex dimension . In this paper, assuming that satisfies condition for some with , we prove an -existence theorem and global regularity for the solutions of the tangential Cauchy-Riemann equation for -forms on .
Shaban Khidr. Osama Abdelkader. "Global Regularity for the -Equation on Manifolds of Arbitrary Codimension." Abstr. Appl. Anal. 2014 (SI61) 1 - 11, 2014. https://doi.org/10.1155/2014/326434