We apply the integral formula obtained by the author for a general G-structure to the case of G = G(2). We derive an integral formula relating curvatures and some quadratic invariants of the endomorphism induced by the intrinsic torsion. We interpret the formula in certain special cases. (c) 2022 Elsevier B.V. All rights reserved.
Integral formulaIntrinsic torsionG(2)-structureMANIFOLDS