Abstract:In this paper, the transformation of a bi-harmonic curve on the total
manifold into a bi-harmonic curve on the base manifold along a Riemannian
map between Riemannian manifolds is examined. In this direction, first,
necessary and sufficient conditions are obtained for the Riemannian map
between two Riemannian manifolds for the curve on the total manifold to be
bi-harmonic curve on the base manifold. Afterwards, the case that the total
manifold is a complex space form was taken into considerat… Show more
Set email alert for when this publication receives citations?
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.