Transverse conformal Killing forms and a Gallot-Meyer Theorem for foliations
arXiv:0805.4187
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 -positive normal curvature, if there is a closed basic 1-form such that , then the foliation is transversally isometric to the quotient of a -sphere.
20 pages