Abstract
We study the simultaneous filling and embedding problem for a CR family of compact strongly pseudoconvex CR manifolds of dimension at least 5. We also derive, as a consequence, the normality of the Stein fibers of the filled-in Stein space under the constant dimensionality assumption of the first Kohn-Rossi cohomology group of the fiber CR manifolds. Two main ingredients for our approach are the work of Catlin on the solution of the ∂-equation with mixed boundary conditions and the work of Siu and Ling on the study of the Grauert direct image theory for a (1,1)-convex-concave family of complex spaces.
Citation
Xiaojun Huang. Hing-Sun Luk. Stephen S.T. Yau. "On a CR family of compact strongly pseudoconvex CR manifolds." J. Differential Geom. 72 (3) 353 - 379, March 2006. https://doi.org/10.4310/jdg/1143593744
Information