Regularity of CR-mappings into Levi-degenerate hypersurfaces

Abstract

We provide regularity results for CR-maps between real hypersurfaces in complex spaces of different dimension with a Levi-degenerate target. We address both the real-analytic and the smooth case. Our results allow immediate applications to the study of proper holomorphic maps between Bounded Symmetric Domains.

23 pages, to appear in Comm. Ana. Geom

References in corpus (1)

• Rigidity of CR maps between Shilov boundaries of bounded symmetric domains

Cited by in corpus (1)

• Holomorphic maps from the complex unit ball to Type IV classical domains