A Riemannian submersion from an (n+1)-dimensional constant sectional curvature manifold to an n-dimensional manifold is biharmonic if and only if it is harmonic.
Defever,Hypersurfaces ofE 4 with harmonic mean curvature vector, Math
3 Pith papers cite this work. Polarity classification is still indexing.
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Non-existence results for λ-biharmonic Riemannian submersions from constant-curvature (n+1)-manifolds to n-manifolds, plus constructions when λ equals the critical value in negative curvature.
Biharmonic simple rotational surfaces in R^4 are minimal.
citing papers explorer
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Classification of biharmonic Riemannian submersions from manifolds with constant sectional curvature
A Riemannian submersion from an (n+1)-dimensional constant sectional curvature manifold to an n-dimensional manifold is biharmonic if and only if it is harmonic.
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\lambda-biharmonic Riemannian submersions from manifolds with constant sectional curvature
Non-existence results for λ-biharmonic Riemannian submersions from constant-curvature (n+1)-manifolds to n-manifolds, plus constructions when λ equals the critical value in negative curvature.
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Biharmonic rotational surfaces in the four-dimensional Euclidean space are minimal
Biharmonic simple rotational surfaces in R^4 are minimal.