
arXiv: 1408.6907
On a closed, connected Riemannian manifold with a K��hler foliation of codimension $q=2m$, any transverse Killing $r\ (\geq 2)$-form is parallel (S. D. Jung and M. J. Jung [\ref{JJ2}], Bull. Korean Math. Soc. 49 (2012)). In this paper, we study transverse conformal Killing forms on K��hler foliations and prove that if the foliation is minimal, then for any transversal conformal Killing $r$-form $��$ $(2\leq r \leq q-2)$, $J��$ is parallel. Here $J$ is defined in Section 4.
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Mathematics - Differential Geometry, Spin and Spin\({}^c\) geometry, transverse conformal Killing form, Differential Geometry (math.DG), Foliations (differential geometric aspects), FOS: Mathematics, Foliations in differential topology; geometric theory, transverse Killing form, minimal foliation, 53C12, 53C27
Mathematics - Differential Geometry, Spin and Spin\({}^c\) geometry, transverse conformal Killing form, Differential Geometry (math.DG), Foliations (differential geometric aspects), FOS: Mathematics, Foliations in differential topology; geometric theory, transverse Killing form, minimal foliation, 53C12, 53C27
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