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http://dx.doi.org/10.4134/BKMS.b170755

THE PROPERTIES OF RIEMANNIAN FOLIATIONS ADMITTING TRANSVERSAL CONFORMAL FIELDS  

Jung, Seoung Dal (Department of Mathematics Jeju National University)
Lee, Keum Ran (Department of Mathematics Jeju National University)
Publication Information
Bulletin of the Korean Mathematical Society / v.55, no.4, 2018 , pp. 1273-1283 More about this Journal
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;
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Times Cited By KSCI : 1  (Citation Analysis)
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