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

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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.
20 pages

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Differential Geometry, 53C12; 53C27; 57R30

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http://salesiana.dossiersoluciones.com/handle/123456789/161727

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0805.4187
 http://arxiv.org/abs/0805.4187

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arXiv