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ON GENERALIZED SEMISYMMETRIC RIEMANNIAN MANIFOLDS

Josef Mikeš, С. Е. Степанов, E. Stepanov

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Abstract

ABSTRACT. There are several generalizations of the concept of semi-symmetric Rie-mannian 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. 1.

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ABSTRACT. There are several generalizations of the concept of semi-symmetric Rie-mannian 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. 1.

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Available abstract

ABSTRACT. There are several generalizations of the concept of semi-symmetric Rie-mannian 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. 1.

Key concepts: Curvature of Riemannian manifolds, Mathematics, Sectional curvature, Ricci-flat manifold, Pure mathematics, Ricci curvature, Scalar curvature, Curvature

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