### On Weakly ${W}_{3}$-Symmetric Manifolds

Shyamal Kumar Hui (2011)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

Similarity:

The object of the present paper is to study weakly ${W}_{3}$-symmetric manifolds and its decomposability with the existence of such notions. Among others it is shown that in a decomposable weakly ${W}_{3}$-symmetric manifold both the decompositions are weakly Ricci symmetric.