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arXiv · 0805.4187

Transverse conformal Killing forms and a Gallot-Meyer Theorem for foliations

Seoung Dal Jung·Ken Richardson
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Abstract

We study transverse conformal Killing forms on foliations and prove a Gallot-Meyer theorem for foliations. Moreover, we show that on a foliation with $C$-positive normal curvature, if there is a closed basic 1-form $ϕ$ such that $Δ_Bϕ=qCϕ$, then the foliation is transversally isometric to the quotient of a $q$-sphere.

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Seoung Dal Jung, Ken Richardson. 2008-05-27. Transverse conformal Killing forms and a Gallot-Meyer Theorem for foliations. https://arxiv.org/abs/0805.4187

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