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Biharmonic hypersurfaces in 4‐dimensional space forms |
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| Authors: | Adina Balmuş Stefano Montaldo Cezar Oniciuc |
| Institution: | 1. Faculty of Mathematics, “Al.I. Cuza” University of Iasi, Bd. Carol I Nr. 11, 700506 Iasi, Romania;2. Phone: +40232201214, Fax: +40232201160;3. Università degli Studi di Cagliari, Dipartimento di Matematica, Via Ospedale 72, 09124 Cagliari, Italy;4. Phone: +40232201221, Fax: +40232201160 |
| Abstract: | We investigate proper biharmonic hypersurfaces with at most three distinct principal curvatures in space forms. We obtain the full classification of proper biharmonic hypersurfaces in 4‐dimensional space forms (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) |
| Keywords: | Biharmonic submanifolds principal curvatures isoparametric hypersurfaces |