Abstract
Using a partial and global frame of tangent bundle TM, we construct some G(m)−invariants [M×R^k ] and homotopy classes c_k (M) corresponding to [M×R^k ], k = 1, 2, …, p_0. Some properties of the partial parallelizable and parallelizable manifolds are obtained with the aid of partial trivial structures in tangent bundles and certain homotopy classes.
Cuvinte cheie
partial parallelizable manifold
G(m)−invariants
homotopy invariants