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On biharmonic functions on vector bundles
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This paper is devoted to the investigation of harmonic and biharmonic
functions on vector bundles equipped with spherically symmetric metrics. We
will study the biharmonicity of vertical lifts of functions as well as
$r$-radial functions on vector bundle manifolds and, as a consequence, we will
construct an infinite two-parameter family of proper biharmonic functions.
Centre pour la Communication Scientifique Directe (CCSD)
Title: On biharmonic functions on vector bundles
Description:
This paper is devoted to the investigation of harmonic and biharmonic
functions on vector bundles equipped with spherically symmetric metrics.
We
will study the biharmonicity of vertical lifts of functions as well as
$r$-radial functions on vector bundle manifolds and, as a consequence, we will
construct an infinite two-parameter family of proper biharmonic functions.
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