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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Kinokuniya Co Ltd
2010
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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. |
first_indexed | 2024-03-06T05:35:44Z |
format | Article |
id | um.eprints-14166 |
institution | Universiti Malaya |
last_indexed | 2024-03-06T05:35:44Z |
publishDate | 2010 |
publisher | Kinokuniya Co Ltd |
record_format | dspace |
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) |
work_keys_str_mv | AT konsonghow onhopfhypersurfacesinanonflatcomplexspaceformwithetarecurrentriccitensor AT looteehow onhopfhypersurfacesinanonflatcomplexspaceformwithetarecurrentriccitensor |