English

Asymptotic strictly pseudoconvex CR structure for asymptotically locally complex hyperbolic manifolds

Differential Geometry 2024-04-11 v4

Abstract

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

Keywords

Cite

@article{arxiv.2201.12132,
  title  = {Asymptotic strictly pseudoconvex CR structure for asymptotically locally complex hyperbolic manifolds},
  author = {Alan Pinoy},
  journal= {arXiv preprint arXiv:2201.12132},
  year   = {2024}
}

Comments

50 pages. Version accepted for publication in Mathematische Zeitschrift

R2 v1 2026-06-24T09:07:24.585Z