<abstract xmlns="http://www.w3.org/1999/xhtml">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.</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.

New results toward the classification of biharmonic submanifolds in 𝕊n

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

New results toward the classification of biharmonic submanifolds in 𝕊

We prove some new rigidity results for proper biharmonic immer- sions in Sn of the following types: Dupin hypersurfaces; hypersurfaces, both compact and...

New results toward the classification of biharmonic submanifolds in 𝕊ⁿ

Data publikacji: 17 maj 2013

Zakres stron: 89 - 114

DOI: https://doi.org/10.2478/v10309-012-0043-2

Słowa kluczowe
biharmonic submanifolds, CMC submanifolds, parallel submanifolds

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