English

Stability of the existence of a pseudo-Einstein contact form

Differential Geometry 2020-01-22 v2 Complex Variables

Abstract

A pseudo-Einstein contact form plays a crucial role in defining some global invariants of closed strictly pseudoconvex CR manifolds. In this paper, we prove that the existence of a pseudo-Einstein contact form is preserved under deformations as a real hypersurface in a fixed complex manifold of complex dimension at least three.

Keywords

Cite

@article{arxiv.1811.02150,
  title  = {Stability of the existence of a pseudo-Einstein contact form},
  author = {Yuya Takeuchi},
  journal= {arXiv preprint arXiv:1811.02150},
  year   = {2020}
}

Comments

7 pages, typos corrected