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Classification results for biharmonic submanifolds in spheres

Balmus, Adina - Montaldo, Stefano - Oniciuc, Cezar (2008) Classification results for biharmonic submanifolds in spheres. Israel Journal of Mathematics (168).

PDF (2007) - Accepted Version


We study biharmonic submanifolds of the Euclidean sphere that satisfy certain geometric properties. We classify: (i) the biharmonic hypersurfaces with at most two distinct principal curvatures; (ii) the conformally at biharmonic hypersurfaces. We obtain some rigidity results for pseudo-umbilical biharmonic submanifolds of codimension 2 and for biharmonic surfaces with parallel mean curvature vector field. We also study the type, in the sense of B-Y. Chen, of compact proper biharmonic submanifolds with constant mean curvature in spheres.

Item Type:Article
Institution:Universita' degli Studi di Cagliari
Divisions:Centri > Seminario Scientifico della Facolta' di Scienze MM.FF.NN.
Subjects:Area 01 - Scienze matematiche e informatiche > MAT/03 Geometria
Uncontrolled Keywords:Biharmonic submanifolds, finite type submanifolds, pseudo-umbilical submanifolds
ID Code:405
Deposited On:07 Nov 2009 16:30

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