An intrinsic construction of Fefferman’s CR metric
Copyright policy )An intrinsic construction of Fefferman’s CR metric
Let M be a strictly pseudoconvex CR manifold, K be the line bundle of the \((n+1,0)\)-forms on M and let \(C=K/R^+\). Assuming K has a closed section, the author constructs intrinsically a conformal class of Lorentz metrics on the circle bundle C. In the case when the CR structure is that of a hypersurface in \({\mathbb{C}}^{n+1}\), this construction gives the Feffermann's metric.
- Santa Clara University United States
Local differential geometry of Lorentz metrics, indefinite metrics, 53C50, Fefferman, Lorentz metrics, Monge-Ampere equation, 32C05, 32F25, CR manifold, Real submanifolds in complex manifolds, Fefferman's metric, Mathematics
Local differential geometry of Lorentz metrics, indefinite metrics, 53C50, Fefferman, Lorentz metrics, Monge-Ampere equation, 32C05, 32F25, CR manifold, Real submanifolds in complex manifolds, Fefferman's metric, Mathematics
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