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October 15, 2025Open Access

Triharmonic Maps Between Warped Product Manifolds

SOSeddik OuakkasUniversité des Sciences et de la Technologie d'Oran Mohamed Boudiaf DBDjamal BennouarUniversité des Sciences et de la Technologie d'Oran Mohamed Boudiaf

Puntos clave

Triharmonic maps exhibit unique properties within warped product manifolds, influencing their geometric interpretation.
Target manifolds evaluated include Euclidean space and the sphere, showcasing varied mapping behaviors.
Key constructions of triharmonic maps contribute to the understanding of manifold interactions and topology.
Illustrative examples underscored the complex nature of mappings, hinting at further research possibilities.

Resumen

In this paper we present some constructions of the triharmonic maps using the warped product manifolds. We study the triharmonicity of some particular maps and We discuss certain examples when the target manifold is either Euclidean space or sphere.

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Cite This Study

Ouakkas et al. (Mon,) studied this question.

synapsesocial.com/papers/68efa18f9d05deea71d1404d https://doi.org/https://doi.org/10.36890/iejg.1535210

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