Real Hypersurfaces in complex hyperbolic two-plane Grassmannians with commuting shape operator

Real Hypersurfaces in complex hyperbolic two-plane Grassmannians with commuting shape operator

In this paper we prove a non-existence of real hypersurfaces in complex hyperbolic two-plane Grassmannians SU2.m/S(U2·Um), m≥3, whose structure tensors {ɸi}i=1,2,3 commute with the shape operator.

Bibliographic Details
Main Authors: de Dios Pérez Juan, Suh Young Jin, Woo Changhwa
Format: Article
Language:English
Published: De Gruyter 2015-08-01
Series:Open Mathematics
Subjects:
real hypersurfaces
complex hyperbolic two-plane grassmannians
commuting shape operator
Online Access:https://doi.org/10.1515/math-2015-0046
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spelling doaj-49fd18a4a5f04263b27a1b963d9ebd722021-09-06T19:20:07ZengDe GruyterOpen Mathematics2391-54552015-08-0113110.1515/math-2015-0046math-2015-0046Real Hypersurfaces in complex hyperbolic two-plane Grassmannians with commuting shape operatorde Dios Pérez Juan0Suh Young Jin1Woo Changhwa2Departamento de Geometria y Topologia, Universidad de Granada, 18071-Granada, SpainDepartment of Mathematics, Kyungpook National University, Daegu 702-701, Republic Of KoreaDepartment of Mathematics, Kyungpook National University, Daegu 702-701, Republic Of KoreaIn this paper we prove a non-existence of real hypersurfaces in complex hyperbolic two-plane Grassmannians SU2.m/S(U2·Um), m≥3, whose structure tensors {ɸi}i=1,2,3 commute with the shape operator.https://doi.org/10.1515/math-2015-0046real hypersurfaces complex hyperbolic two-plane grassmannians commuting shape operator
collection DOAJ
language English
format Article
sources DOAJ
author de Dios Pérez Juan
Suh Young Jin
Woo Changhwa
spellingShingle de Dios Pérez Juan
Suh Young Jin
Woo Changhwa
Real Hypersurfaces in complex hyperbolic two-plane Grassmannians with commuting shape operator
Open Mathematics
real hypersurfaces
complex hyperbolic two-plane grassmannians
commuting shape operator
author_facet de Dios Pérez Juan
Suh Young Jin
Woo Changhwa
author_sort de Dios Pérez Juan
title Real Hypersurfaces in complex hyperbolic two-plane Grassmannians with commuting shape operator
title_short Real Hypersurfaces in complex hyperbolic two-plane Grassmannians with commuting shape operator
title_full Real Hypersurfaces in complex hyperbolic two-plane Grassmannians with commuting shape operator
title_fullStr Real Hypersurfaces in complex hyperbolic two-plane Grassmannians with commuting shape operator
title_full_unstemmed Real Hypersurfaces in complex hyperbolic two-plane Grassmannians with commuting shape operator
title_sort real hypersurfaces in complex hyperbolic two-plane grassmannians with commuting shape operator
publisher De Gruyter
series Open Mathematics
issn 2391-5455
publishDate 2015-08-01
description In this paper we prove a non-existence of real hypersurfaces in complex hyperbolic two-plane Grassmannians SU2.m/S(U2·Um), m≥3, whose structure tensors {ɸi}i=1,2,3 commute with the shape operator.
topic real hypersurfaces
complex hyperbolic two-plane grassmannians
commuting shape operator
url https://doi.org/10.1515/math-2015-0046
work_keys_str_mv AT dediosperezjuan realhypersurfacesincomplexhyperbolictwoplanegrassmannianswithcommutingshapeoperator
AT suhyoungjin realhypersurfacesincomplexhyperbolictwoplanegrassmannianswithcommutingshapeoperator
AT woochanghwa realhypersurfacesincomplexhyperbolictwoplanegrassmannianswithcommutingshapeoperator
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