Some harmonic and biharmonic problems on the tangent bundle with a Berger-type deformed Sasaki metric
Abstract
Let $\psi:(M_{2k},\phi, g)\longrightarrow (N_{2k'},\phi', h)$ be a smooth map between almost anti-paraHermitian manifolds. The map $\psi$ induces the tangent map $\Psi:(TM,g^{BS})\longrightarrow (TN,h^{BS})$. In this paper, we deal with the harmonicity of a tangent map $\Psi$ and the biharmonicity of the identity map in the case where the tangent bundles $TM,TN$ are endowed with the Berger type deformed Sasaki metric $g^{BS}, h^{BS}$.
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DOI: https://doi.org/10.52846/ami.v51i2.1870