Some notes on the differential geometry of linear coframe bundle of a Riemannian manifold

H. Fattayev

In this paper, we construct f-structures Fα, 1 ≤ α ≤ n, F̃ and F on the linear coframe bundle F*(M) of the Riemannian manifold M. It is proved that these structures are adapted with the diagonal lift Dg of the Riemannian metric g of the manifold M into the linear coframe bundle F*(M). Also we study the integrability and parallelism of the f-structures Fα, 1 ≤ α ≤ n, F̃ and F . 

Advanced Studies: Euro-Tbilisi Mathematical Journal, Vol. 14(4) (2021), pp. 81-95