Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică
Proceedings of the 10th International Workshop on Differential Geometry and its Applications
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Publicado en línea: 17 may 2013
Páginas: 89 - 114
DOI: https://doi.org/10.2478/v10309-012-0043-2
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Abstract We prove some new rigidity results for proper biharmonic immer- sions in Sn of the following types: Dupin hypersurfaces; hypersurfaces, both compact and non-compact, with bounded norm of the second fun- damental form; hypersurfaces satisfying intrinsic properties; PMC sub- manifolds; parallel submanifolds.