Strongly pseudo-convex CR space forms

For a contact manifold, we study a strongly pseudo-convex CR space form with constant holomorphic sectional curvature for the Tanaka-Webster connection. We prove that a strongly pseudo-convex CR space form M is weakly locally pseudo-Hermitian symmetric if and only if (i) dim M = 3, (ii) M is a Sasak...

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Autor principal:	Cho Jong Taek
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2019
Materias:	contact manifold strongly pseudo-convex cr space form pseudo-hermitian symmetry 53c15 53c25 53d10 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/624bef523df04ddb9129659f2d9b7a8b
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id	oai:doaj.org-article:624bef523df04ddb9129659f2d9b7a8b
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spelling	oai:doaj.org-article:624bef523df04ddb9129659f2d9b7a8b2021-12-02T16:36:59ZStrongly pseudo-convex CR space forms2300-744310.1515/coma-2019-0014https://doaj.org/article/624bef523df04ddb9129659f2d9b7a8b2019-01-01T00:00:00Zhttps://doi.org/10.1515/coma-2019-0014https://doaj.org/toc/2300-7443For a contact manifold, we study a strongly pseudo-convex CR space form with constant holomorphic sectional curvature for the Tanaka-Webster connection. We prove that a strongly pseudo-convex CR space form M is weakly locally pseudo-Hermitian symmetric if and only if (i) dim M = 3, (ii) M is a Sasakian space form, or (iii) M is locally isometric to the unit tangent sphere bundle T1(𝔿n+1) of a hyperbolic space 𝔿n+1 of constant curvature −1.Cho Jong TaekDe Gruyterarticlecontact manifoldstrongly pseudo-convex cr space formpseudo-hermitian symmetry53c1553c2553d10MathematicsQA1-939ENComplex Manifolds, Vol 6, Iss 1, Pp 279-293 (2019)
institution	DOAJ
collection	DOAJ
language	EN
topic	contact manifold strongly pseudo-convex cr space form pseudo-hermitian symmetry 53c15 53c25 53d10 Mathematics QA1-939
spellingShingle	contact manifold strongly pseudo-convex cr space form pseudo-hermitian symmetry 53c15 53c25 53d10 Mathematics QA1-939 Cho Jong Taek Strongly pseudo-convex CR space forms
description	For a contact manifold, we study a strongly pseudo-convex CR space form with constant holomorphic sectional curvature for the Tanaka-Webster connection. We prove that a strongly pseudo-convex CR space form M is weakly locally pseudo-Hermitian symmetric if and only if (i) dim M = 3, (ii) M is a Sasakian space form, or (iii) M is locally isometric to the unit tangent sphere bundle T1(𝔿n+1) of a hyperbolic space 𝔿n+1 of constant curvature −1.
format	article
author	Cho Jong Taek
author_facet	Cho Jong Taek
author_sort	Cho Jong Taek
title	Strongly pseudo-convex CR space forms
title_short	Strongly pseudo-convex CR space forms
title_full	Strongly pseudo-convex CR space forms
title_fullStr	Strongly pseudo-convex CR space forms
title_full_unstemmed	Strongly pseudo-convex CR space forms
title_sort	strongly pseudo-convex cr space forms
publisher	De Gruyter
publishDate	2019
url	https://doaj.org/article/624bef523df04ddb9129659f2d9b7a8b
work_keys_str_mv	AT chojongtaek stronglypseudoconvexcrspaceforms
_version_	1718383636266352640

Strongly pseudo-convex CR space forms

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