On the topological structure of affinely connected manifolds

Tatsuo Higa
1984 Nagoya mathematical journal  
The purpose of the present paper is to investigate the relationship between the topological structure and differential geometric objects for affinely connected manifolds.Let M be a compact, connected and oriented Riemannian manifold,Pr(M) the vector space of all parallel r-forms onMandbr(M) the r-th Betti number ofM.
doi:10.1017/s0027763000021127 fatcat:wkoyx2u3zjcqhg44yyinph3opu