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 The properties of Riemannian foliations admitting transversal conformal fields Bull. Korean Math. Soc. 2018 Vol. 55, No. 4, 1273-1283 https://doi.org/10.4134/BKMS.b170755Published online July 31, 2018 Seoung Dal Jung, Keum Ran Lee Jeju National University, Jeju National University Abstract : Let $(M,\mathcal F)$ be a closed, oriented Riemannian manifold of a foliation $\mathcal F$ with a nonisometric transversal conformal field. Then $(M,\mathcal F)$ is transversally isometric to the sphere under some transversal concircular curvature conditions. Keywords : transversal conformal field, generalized Obata theorem MSC numbers : 53C20, 57R30 Downloads: Full-text PDF