On Weakly $W_{2}$-Symmetric Manifolds
DOI:
https://doi.org/10.5644/SJM.03.1.08Keywords:
Weakly symmetric manifold, weakly $W_{2}$-symmetric manifold, scalar curvature, Einstein manifoldAbstract
In the present paper we introduce a type of non-flat Riemannian manifold called weakly $W_{2}$-symmetric manifolds and study their geometric properties. The existence of such manifolds is shown by several non-trivial examples.
2000 Mathematics Subject Classification. 53B50, 53C35
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