Abstract

 
 
 The nullity distribution on the tangent bundle of a Riemannian manifold is studied. The vetical and complete lifts of a vector fileld belonging to the nullity distribution on the base manifold are show to be in the nullity distribution on the tangent bundle. Under certain regularity assumption, the dimension of the nullity distribution on the tangent bundle of a Riemannian manifold is found to be twice that of the nullity distribution on the base manifold. 
 
 
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