On the Tanno connection and the Chern-Moser connection in almost CR-geometry

DOI10.14492/hokmj/2021-505MaRDI QIDQ6172002

Masayoshi Nagase

Publication date: 18 July 2023

Published in: Hokkaido Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/hokkaido-mathematical-journal/volume-52/issue-1/On-the-Tanno-connection-and-the-Chern-Moser-connection-in/10.14492/hokmj/2021-505.full

zbMATH Keywords

Cartan connectionTanno connectionChern-Moser connectioncontact Riemannian structure

Mathematics Subject Classification ID

Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) CR structures, CR operators, and generalizations (32V05) Deformations of special (e.g., CR) structures (32G07)

Cites Work

• Cartan connections for CR manifolds
• Conformal differential geometry. \(Q\)-curvature and conformal holonomy
• Real hypersurfaces in complex manifolds
• Dirac operators on the Fefferman spin spaces in almost CR-geometry
• Variational Problems on Contact Riemannian Manifolds
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