Article citationsMore>>

Gudmundsson, S, and Kappos, E. (2002) On the Geometry of the Tangent Bundles; Expositiones Mathematicae, 20, 1-41.
https://doi.org/10.1016/S0723-0869(02)80027-5

has been cited by the following article:

• TITLE: Symmetrically Harmonic Kaluza-Klein Metrics on Tangent Bundles

  AUTHORS: Serge Degla, Leonard Todjihounde

  KEYWORDS: Harmonic Maps, Kaluza-Klein Metrics, Conformal Metrics

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.10 No.12, December 9, 2022

  ABSTRACT: 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.