By Yorozu S.

We provide a generalization of the outcome bought via C. Currais-Bosch. Weconsider the -operator linked to a transverse Killing box v on acomplete foliated Riemannian manifold . lower than a undeniable assumption,we end up that, for every belongs to the Lie algebra of the linearholonomy team . a unique case of our end result, the model of the foliationby issues, implies the consequences given through B. Kostant (compact case) andC. Currfis-Bosch (non-compact case).

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