Title: An integral formula for Riemannian $G$-structures with applications to almost hermitian and almost contact structures,
Abstract: For a Riemannian $G$-structure, we compute the divergence of the vector field
induced by the intrinsic torsion. Applying the Stokes theorem, we obtain the
integral formula on a closed oriented Riemannian manifold, which we interpret
in certain cases. We focus on almost harmitian and almost contact metric
structures.