Asymptotic strictly pseudoconvex CR structure for asymptotically locally complex hyperbolic manifolds

Abstract

In this paper, we build a compactification by a strictly pseudoconvex CR structure for complete and non-compact Kähler manifolds whose curvature tensor is asymptotic to that of the complex hyperbolic space.

50 pages. Version accepted for publication in Mathematische Zeitschrift

References in corpus (1)

• A non-strictly pseudoconvex domain for which the squeezing function tends to one towards the boundary

Cited by in corpus (1)

• CR compactification for asymptotically locally complex hyperbolic almost Hermitian manifolds