Author(s)

Serge Degla^1,2*, Leonard Todjihounde¹

¹Institut de Mathématiques et de Sciences Physiques, Porto-Novo, Benin.
²Institut de Mathématiques et de Sciences Physiques, Porto-Novo, Benin.

Let (M, g) be a Riemannian manifold and G be a Kaluza-Klein metric on its tangent bundle TM. A metric H on TM is said to be symmetrically harmonic to G if the metrics G and H are harmonic w.r.t. each other; that is the identity maps id: (TM,G) → (TM,H) and id: (TM,H) → (TM,G) are both harmonic maps. In this work we study Kaluza-Klein metrics H on TM which are symmetrically harmonic to G. In particular, we characterize and determine horizontally and vertically conformal Kaluza-Klein metrics H on TM, which are symmetrically harmonic to G.

Harmonic Maps, Kaluza-Klein Metrics, Conformal Metrics

Degla, S. and Todjihounde, L. (2022) Symmetrically Harmonic Kaluza-Klein Metrics on Tangent Bundles. Journal of Applied Mathematics and Physics, 10, 3548-3561. doi: 10.4236/jamp.2022.1012235.