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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3 Pith papers cite this work. Polarity classification is still indexing.
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Proves that λ-biharmonic Riemannian submersions from constant sectional curvature manifolds must be harmonic unless λ = 2(n-1)c with c < 0, in which case examples exist.
Relates free scalar in Minkowski space to codimension-two sphere field via Radon transform to dS/EAdS slice and bulk reconstruction, with Mellin modes as generalized hypergeometric functions via Lee-Pomeransky method.
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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
Proves that λ-biharmonic Riemannian submersions from constant sectional curvature manifolds must be harmonic unless λ = 2(n-1)c with c < 0, in which case examples exist.
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Minkowski Space holography and Radon transform
Relates free scalar in Minkowski space to codimension-two sphere field via Radon transform to dS/EAdS slice and bulk reconstruction, with Mellin modes as generalized hypergeometric functions via Lee-Pomeransky method.