Diederich-Fornaess and Steinness indices for abstract CR manifolds
arXiv:2003.01330 · doi:10.1007/s12220-020-00598-6
Abstract
We propose the concept of Diederich--Fornæss and Steinness indices on compact pseudoconvex CR manifolds of hypersurface type in terms of the D'Angelo 1-form. When the CR manifold bounds a domain in a complex manifold, under certain additional non-degeneracy condition, those indices are shown to coincide with the original Diederich--Fornæss and Steinness indices of the domain, and CR invariance of the original indices follows.
References in corpus (5)
- Bergman kernel and hyperconvexity index
- Curvature restrictions for Levi-flat real hypersurfaces in complex projective planes
- A local expression of the Diederich--Fornaess exponent and the exponent of conformal harmonic measures
- On the normal bundle of Levi-flat real hypersurfaces
- A CR proof for a global estimate of the Diederich--Fornaess index of Levi-flat real hypersurfaces