A characterization of ruled hypersurfaces in complex space forms in terms of the Lie derivative of shape operator

In this paper, it is proved that if a non-Hopf real hypersurface in a nonflat complex space form of complex dimension two satisfies Ki and Suh's condition (J. Korean Math. Soc., 32 (1995), 161–170), then it is locally congruent to a ruled hypersurface or a strongly 2-Hopf hypersurface. This ext...

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Autor principal:	Wenjie Wang
Formato:	article
Lenguaje:	EN
Publicado:	AIMS Press 2021
Materias:	real hypersurface complex space form ruled hypersurface lie derivative Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/f8946e9e60d747f1ac37779b7dfbd371
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id	oai:doaj.org-article:f8946e9e60d747f1ac37779b7dfbd371
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spelling	oai:doaj.org-article:f8946e9e60d747f1ac37779b7dfbd3712021-11-09T01:42:59ZA characterization of ruled hypersurfaces in complex space forms in terms of the Lie derivative of shape operator10.3934/math.20218132473-6988https://doaj.org/article/f8946e9e60d747f1ac37779b7dfbd3712021-11-01T00:00:00Zhttps://www.aimspress.com/article/doi/10.3934/math.2021813?viewType=HTMLhttps://doaj.org/toc/2473-6988In this paper, it is proved that if a non-Hopf real hypersurface in a nonflat complex space form of complex dimension two satisfies Ki and Suh's condition (J. Korean Math. Soc., 32 (1995), 161–170), then it is locally congruent to a ruled hypersurface or a strongly 2-Hopf hypersurface. This extends Ki and Suh's theorem to real hypersurfaces of dimension greater than or equal to three.Wenjie Wang AIMS Pressarticlereal hypersurfacecomplex space formruled hypersurfacelie derivativeMathematicsQA1-939ENAIMS Mathematics, Vol 6, Iss 12, Pp 14054-14063 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	real hypersurface complex space form ruled hypersurface lie derivative Mathematics QA1-939
spellingShingle	real hypersurface complex space form ruled hypersurface lie derivative Mathematics QA1-939 Wenjie Wang A characterization of ruled hypersurfaces in complex space forms in terms of the Lie derivative of shape operator
description	In this paper, it is proved that if a non-Hopf real hypersurface in a nonflat complex space form of complex dimension two satisfies Ki and Suh's condition (J. Korean Math. Soc., 32 (1995), 161–170), then it is locally congruent to a ruled hypersurface or a strongly 2-Hopf hypersurface. This extends Ki and Suh's theorem to real hypersurfaces of dimension greater than or equal to three.
format	article
author	Wenjie Wang
author_facet	Wenjie Wang
author_sort	Wenjie Wang
title	A characterization of ruled hypersurfaces in complex space forms in terms of the Lie derivative of shape operator
title_short	A characterization of ruled hypersurfaces in complex space forms in terms of the Lie derivative of shape operator
title_full	A characterization of ruled hypersurfaces in complex space forms in terms of the Lie derivative of shape operator
title_fullStr	A characterization of ruled hypersurfaces in complex space forms in terms of the Lie derivative of shape operator
title_full_unstemmed	A characterization of ruled hypersurfaces in complex space forms in terms of the Lie derivative of shape operator
title_sort	characterization of ruled hypersurfaces in complex space forms in terms of the lie derivative of shape operator
publisher	AIMS Press
publishDate	2021
url	https://doaj.org/article/f8946e9e60d747f1ac37779b7dfbd371
work_keys_str_mv	AT wenjiewang acharacterizationofruledhypersurfacesincomplexspaceformsintermsoftheliederivativeofshapeoperator AT wenjiewang characterizationofruledhypersurfacesincomplexspaceformsintermsoftheliederivativeofshapeoperator
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A characterization of ruled hypersurfaces in complex space forms in terms of the Lie derivative of shape operator

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