Compact homogeneous Leviflat CR-manifolds

We consider compact Leviflat homogeneous Cauchy–Riemann (CR) manifolds. In this setting, the Levi-foliation exists and we show that all its leaves are homogeneous and biholomorphic. We analyze separately the structure of orbits in complex projective spaces and parallelizable homogeneous CR-manifolds...

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Detalles Bibliográficos
Autores principales: Al-Abdallah, A. R., Gilligan, B.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2021
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8550170/
https://www.ncbi.nlm.nih.gov/pubmed/34723129
http://dx.doi.org/10.1007/s40627-021-00083-y
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author Al-Abdallah, A. R.
Gilligan, B.
author_facet Al-Abdallah, A. R.
Gilligan, B.
author_sort Al-Abdallah, A. R.
collection PubMed
description We consider compact Leviflat homogeneous Cauchy–Riemann (CR) manifolds. In this setting, the Levi-foliation exists and we show that all its leaves are homogeneous and biholomorphic. We analyze separately the structure of orbits in complex projective spaces and parallelizable homogeneous CR-manifolds in our context and then combine the projective and parallelizable cases. In codimensions one and two, we also give a classification.
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spelling pubmed-85501702021-10-29 Compact homogeneous Leviflat CR-manifolds Al-Abdallah, A. R. Gilligan, B. Complex Analysis Synerg Research We consider compact Leviflat homogeneous Cauchy–Riemann (CR) manifolds. In this setting, the Levi-foliation exists and we show that all its leaves are homogeneous and biholomorphic. We analyze separately the structure of orbits in complex projective spaces and parallelizable homogeneous CR-manifolds in our context and then combine the projective and parallelizable cases. In codimensions one and two, we also give a classification. Springer International Publishing 2021-07-15 2021 /pmc/articles/PMC8550170/ /pubmed/34723129 http://dx.doi.org/10.1007/s40627-021-00083-y Text en © The Author(s) 2021 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 Research
Al-Abdallah, A. R.
Gilligan, B.
Compact homogeneous Leviflat CR-manifolds
title Compact homogeneous Leviflat CR-manifolds
title_full Compact homogeneous Leviflat CR-manifolds
title_fullStr Compact homogeneous Leviflat CR-manifolds
title_full_unstemmed Compact homogeneous Leviflat CR-manifolds
title_short Compact homogeneous Leviflat CR-manifolds
title_sort compact homogeneous leviflat cr-manifolds
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8550170/
https://www.ncbi.nlm.nih.gov/pubmed/34723129
http://dx.doi.org/10.1007/s40627-021-00083-y
work_keys_str_mv AT alabdallahar compacthomogeneousleviflatcrmanifolds
AT gilliganb compacthomogeneousleviflatcrmanifolds

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