Stability of the existence of a pseudo-Einstein contact form

Yuya Takeuchi

Vol. 303 (2019), No. 2, 757–765

DOI: 10.2140/pjm.2019.303.757

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

pseudo-Einstein contact form, Lee conjecture, Bott–Chern class

Mathematical Subject Classification 2010

Primary: 32V05

Secondary: 32E10, 32V15

Milestones

Received: 24 April 2019

Accepted: 25 June 2019

Published: 4 January 2020