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Cheeger, J. and Gromoll, D. (1972) On the Structure of Complete Manifolds of Nonnegative Curvature. Annals of Mathematics, 96, 413-443.
https://doi.org/10.2307/1970819

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.