CR compactification for asymptotically locally complex hyperbolic almost Hermitian manifolds

Abstract

In this article, we consider a complete, non-compact almost Hermitian manifold whose curvature is asymptotic to that of the complex hyperbolic plane. Under natural geometric conditions, we show that such a manifold arises as the interior of a compact almost complex manifold whose boundary is a strictly pseudoconvex CR manifold. Moreover, the geometric structure of the boundary can be recovered by analysing the expansion of the metric near infinity.

25 pages. Comments are welcome

References in corpus (1)

• Asymptotic strictly pseudoconvex CR structure for asymptotically locally complex hyperbolic manifolds