Gradients for SL(q)SL(q)-foliations

Gradients, i.e., irreducible (with respect to the orthogonal group) components of the covariant derivative on a foliation, are considered under the assumption that the foliation has holonomy invariant transversal volume form.

► Relative gradients of the orthogonal group on SL(q)SL(q)-foliations are considered.
► The shape of the adjoint operators is derived.
► The relative Dirac operator is investigated.