On generalized semisymmetric Riemannian manifolds

Josef Mikes, Sergey E. Stepanov


There are several generalizations of the concept of semi-symmetric Riemannian manifolds. In the present paper, we consider some special types of generalized semi-symmetric Riemannian manifolds with positive or negative defined curvature operator or sectional curvature. As applications of our theory we prove some propositions about semi-symmetric, Ricci-semi-symmetric and birecurrent Riemannian manifolds.


generalized semisymmetric manifold, Ricci-semisymmetric, semisymmetric manifolds, sectional curvature

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DOI: http://dx.doi.org/10.1478/AAPP.91S2A1

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