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http://dx.doi.org/10.4134/BKMS.2012.49.3.445

TRANSVERSE KILLING FORMS ON A KÄAHLER FOLIATION  

Jung, Seoung-Dal (Department of Mathematics and Research Institute for Basic Sciences Jeju National University)
Jung, Min-Joo (Department of Mathematics Jeju National University)
Publication Information
Bulletin of the Korean Mathematical Society / v.49, no.3, 2012 , pp. 445-454 More about this Journal
Abstract
On a closed, connected Riemannian manifold with a K$\ddot{a}$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$\ddot{a}$ahler foliation;
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