Bull. Korean Math. Soc. 2018; 55(4): 1273-1283
Online first article March 13, 2018 Printed July 31, 2018
https://doi.org/10.4134/BKMS.b170755
Copyright © The Korean Mathematical Society.
Seoung Dal Jung, Keum Ran Lee
Jeju National University, Jeju National University
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
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