Abstract
Let $(M,g_M, \mathscr F)$ be a closed, connected Riemannian manifold with a Riemannian foliation $\mathscr F$ of nonzero constant transversal scalar curvature. When $M$ admits a transversal nonisometric conformal field, we find some generalized conditions that $\mathscr F$ is transversally isometric to $(S^q(1/c),G)$, where $G$ is the discrete subgroup of $O(q)$ acting by isometries on the last $q$ coordinates of the sphere $S^q(1/c)$ of radius $1/c$.
Funding Statement
This paper was also supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIP) (NRF-2018R1A2B2002046).
Citation
Woo Cheol Kim. Seoung Dal Jung. "On Riemannian foliations admitting transversal conformal fields." Hiroshima Math. J. 50 (1) 59 - 72, March 2020. https://doi.org/10.32917/hmj/1583550015
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