Normal form for pseudo-Einstein contact forms and intrinsic CR normal coordinates

We give a normal form for pseudo-Einstein contact forms and apply it to construct intrinsic CR normal coordinates parametrized by the structure group of CR geometry. The proof is based on the construction of parabolic normal coordinates by Jerison and Lee.

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Bibliographic Details
Published in:Complex analysis and its synergies 2022-09, Vol.8 (3), Article 13
Main Author: Hirachi, Kengo
Format: Article
Language:English
Subjects:
Algebraic Geometry
Analysis
Canonical forms
Dynamical Systems and Ergodic Theory
Functional Analysis
Functions of a Complex Variable
Mathematics
Mathematics and Statistics
Partial Differential Equations
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Description
Summary:We give a normal form for pseudo-Einstein contact forms and apply it to construct intrinsic CR normal coordinates parametrized by the structure group of CR geometry. The proof is based on the construction of parabolic normal coordinates by Jerison and Lee.
ISSN:2524-7581
2197-120X
DOI:10.1007/s40627-022-00101-7