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Bull. Korean Math. Soc. 2012; 49(3): 445-454
Printed May 1, 2012
https://doi.org/10.4134/BKMS.2012.49.3.445
Copyright © The Korean Mathematical Society.
Transverse Killing forms on a K\"ahler foliation
Seoung Dal Jung and Min Joo Jung
Jeju National University, Jeju National University
On a closed, connected Riemannian manifold with a K\"ahler foliation $\mathcal F$ of codimension $q$, any transverse Killing $r$-form $(2\leq r\leq q)$ is parallel.
Keywords: transverse Killing form, transverse conformal Killing form, K\"ahler foliation.
MSC numbers: 53C12, 53C55
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