G(m)−INVARIANTS AND HOMOTOPY INVARIANTS OF PARTIAL PARALLELIZABLE MANIFOLDS
COSTACHE APREUTESEI
Faculty of Mathematics, Al. I. Cuza University of Iași Blvd. Carol I, 11, 700506 Iași, ROMANIA e-mail: gapreutesei@yahoo.com
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.