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
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author Hsiao, Chin-Yu
Marinescu, George
Wang, Huan
author_facet Hsiao, Chin-Yu
Marinescu, George
Wang, Huan
author_sort Hsiao, Chin-Yu
collection PubMed
description 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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spelling pubmed-93879022022-08-19 Szegő Kernel Asymptotics on Complete Strictly Pseudoconvex CR Manifolds Hsiao, Chin-Yu Marinescu, George Wang, Huan J Geom Anal Article 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. Springer US 2022-08-18 2022 /pmc/articles/PMC9387902/ /pubmed/35999908 http://dx.doi.org/10.1007/s12220-022-00990-4 Text en © The Author(s) 2022 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Hsiao, Chin-Yu
Marinescu, George
Wang, Huan
Szegő Kernel Asymptotics on Complete Strictly Pseudoconvex CR Manifolds
title Szegő Kernel Asymptotics on Complete Strictly Pseudoconvex CR Manifolds
title_full Szegő Kernel Asymptotics on Complete Strictly Pseudoconvex CR Manifolds
title_fullStr Szegő Kernel Asymptotics on Complete Strictly Pseudoconvex CR Manifolds
title_full_unstemmed Szegő Kernel Asymptotics on Complete Strictly Pseudoconvex CR Manifolds
title_short Szegő Kernel Asymptotics on Complete Strictly Pseudoconvex CR Manifolds
title_sort szegő kernel asymptotics on complete strictly pseudoconvex cr manifolds
topic Article
url 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
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AT marinescugeorge szegokernelasymptoticsoncompletestrictlypseudoconvexcrmanifolds
AT wanghuan szegokernelasymptoticsoncompletestrictlypseudoconvexcrmanifolds

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