VANISHING THEOREMS FOR SOME CLASSES OF RIEMANN-CARTAN MANIFOLDS

摘要

In this paper, a classification of Riemann-Cartan manifolds based on the orthogonal decomposition of the torsion tensor is given. Problems on the existence of two classes (ℓ)_1 ⊕ (ℓ)_2 and (ℓ)_3 of Riemann-Cartan spaces are discussed.