Szegő Kernel Asymptotics on Complete Strictly Pseudoconvex CR Manifolds

We prove a Bochner–Kodaira–Nakano formula and establish Szegő kernel expansions on complete strictly pseudoconvex CR manifolds with transversal CR [Formula: see text] -action under certain natural geometric conditions. As a consequence we show that such manifolds are locally CR embeddable.

Detalles Bibliográficos
Autores principales: Hsiao, Chin-Yu, Marinescu, George, Wang, Huan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer US 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9387902/
https://www.ncbi.nlm.nih.gov/pubmed/35999908
http://dx.doi.org/10.1007/s12220-022-00990-4
Descripción
Sumario:We prove a Bochner–Kodaira–Nakano formula and establish Szegő kernel expansions on complete strictly pseudoconvex CR manifolds with transversal CR [Formula: see text] -action under certain natural geometric conditions. As a consequence we show that such manifolds are locally CR embeddable.

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