Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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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.

The properties of Riemannian foliations admitting transversal conformal fields

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

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