Some harmonic and biharmonic problems on the tangent bundle with a Berger-type deformed Sasaki metric
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 $g^{BS}, h^{BS}$.
Authors
- Hichem El Hendi (ORCID: https://orcid.org/0000-0001-7246-2915)
- Lakehal Belarbi (ORCID: https://orcid.org/0000-0002-9196-1979)
- Mouhammed Abdallah
Institutions
- Université de Mostaganem (DZ)
- Université Mustapha Stambouli de Mascara (DZ)
Publication Details
- Journal
- Annals of the University of Craiova Mathematics and Computer Science Series
- Published
- 2024-12-25
- DOI
- https://doi.org/10.52846/ami.v51i2.1870
- Primary Topic
- Geometric Analysis and Curvature Flows
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Direction Générale de la Recherche Scientifique et du Développement Technologique