On hopf hypersurfaces in a non-flat complex space form with eta-recurrent ricci tensor

Baikoussis, Lyu and Suh [1] showed that a Hopf hypersurface M in a non-flat complex space form M-n(c) with constant mean curvature and with eta-recurrent Ricci tensor is locally congruent to one of real hypersurfaces of type A and B. They also conjectured that the same result can be obtained even wi...

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Main Authors: Kon, Song-How, Loo, Tee-How
Format: Article
Published: Kinokuniya Co Ltd 2010
Subjects:
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author Kon, Song-How
Loo, Tee-How
author_facet Kon, Song-How
Loo, Tee-How
author_sort Kon, Song-How
collection UM
description Baikoussis, Lyu and Suh [1] showed that a Hopf hypersurface M in a non-flat complex space form M-n(c) with constant mean curvature and with eta-recurrent Ricci tensor is locally congruent to one of real hypersurfaces of type A and B. They also conjectured that the same result can be obtained even without the constancy assumption on the mean curvature (cf. [I, Remark 5.1.]). The purpose of this paper is to answer this question in the affirmative.
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spelling um.eprints-141662015-10-06T02:49:19Z http://eprints.um.edu.my/14166/ On hopf hypersurfaces in a non-flat complex space form with eta-recurrent ricci tensor Kon, Song-How Loo, Tee-How Q Science (General) Baikoussis, Lyu and Suh [1] showed that a Hopf hypersurface M in a non-flat complex space form M-n(c) with constant mean curvature and with eta-recurrent Ricci tensor is locally congruent to one of real hypersurfaces of type A and B. They also conjectured that the same result can be obtained even without the constancy assumption on the mean curvature (cf. [I, Remark 5.1.]). The purpose of this paper is to answer this question in the affirmative. Kinokuniya Co Ltd 2010 Article PeerReviewed Kon, Song-How and Loo, Tee-How (2010) On hopf hypersurfaces in a non-flat complex space form with eta-recurrent ricci tensor. Kodai Mathematical Journal, 33 (2). pp. 240-250.
spellingShingle Q Science (General)
Kon, Song-How
Loo, Tee-How
On hopf hypersurfaces in a non-flat complex space form with eta-recurrent ricci tensor
title On hopf hypersurfaces in a non-flat complex space form with eta-recurrent ricci tensor
title_full On hopf hypersurfaces in a non-flat complex space form with eta-recurrent ricci tensor
title_fullStr On hopf hypersurfaces in a non-flat complex space form with eta-recurrent ricci tensor
title_full_unstemmed On hopf hypersurfaces in a non-flat complex space form with eta-recurrent ricci tensor
title_short On hopf hypersurfaces in a non-flat complex space form with eta-recurrent ricci tensor
title_sort on hopf hypersurfaces in a non flat complex space form with eta recurrent ricci tensor
topic Q Science (General)
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AT looteehow onhopfhypersurfacesinanonflatcomplexspaceformwithetarecurrentriccitensor