Canonical almost complex structures on ACH Einstein manifolds

DOI10.2140/pjm.2021.314.375zbMath1482.53040arXiv1812.09633OpenAlexW3212439971MaRDI QIDQ2245107

Yoshihiko Matsumoto

Publication date: 15 November 2021

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.09633

zbMATH Keywords

almost CR structuresasymptotically complex hyperbolic spaces

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Local differential geometry of Hermitian and Kählerian structures (53B35) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) CR manifolds as boundaries of domains (32V15) Strongly pseudoconvex domains (32T15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Asymptotics of ACH-Einstein metrics
• Characteristic numbers of bounded domains
• La 1-forme de torsion d'une variété hermitienne compacte
• Boundary behaviour of the complex Monge-Ampère equation
• Einstein metrics with prescribed conformal infinity on the ball
• Monge-Ampère equations, the Bergman kernel, and geometry of pseudoconvex domains
• Parabolic geometries and canonical Cartan connections
• A Burns-Epstein invariant for ACHE 4-manifolds
• The Bergman kernel and biholomorphic mappings of pseudoconvex domains
• Hermitian curvature flow
• Renormalized Chern-Gauss-Bonnet formula for complete Kähler-Einstein metrics
• Deformation of Einstein metrics and 𝐿² cohomology on strictly pseudoconvex domains
• On the existence of a complete Kähler metric on non-compact complex manifolds and the regularity of fefferman's equation
• Fredholm operators and Einstein metrics on conformally compact manifolds
• GJMS operators, \(Q\)-curvature, and obstruction tensor of partially integrable CR manifolds