Ov. Babourova et Bn. Frolov, PONTRYAGIN, EULER FORMS AND CHERN-SIMONS TERMS IN WEYL-CARTAN SPACE, Modern physics letters A, 12(17), 1997, pp. 1267-1274
The existence of the Pontryagin and Euler forms in a Weyl-Cartan space
on the basis of the variational method with Lagrange multipliers are
established. It is proved that these forms can be expressed via the ex
terior derivatives of the corresponding Chern-Simons terms in a Weyl-C
artan space with torsion and nonmetricity.