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Biharmonic hypersurfaces in 4‐dimensional space forms
Author(s) -
Balmuş Adina,
Montaldo Stefano,
Oniciuc Cezar
Publication year - 2010
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200710176
Subject(s) - biharmonic equation , mathematics , space (punctuation) , principal curvature , pure mathematics , mathematical analysis , principal (computer security) , space form , curvature , geometry , mean curvature , computer science , boundary value problem , operating system , submanifold
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)