On generalized semisymmetric Riemannian manifolds

Authors

  • Josef Mikes Palacky University Olomouc, Department of Algebra and Geometry 17. listopadu 12, 771 46 Olomouc
  • Sergey E. Stepanov Finance University under the Government of the Russian Federation Department of Mathematics 49-55, Leningradskiy prospect, Moscow,125468

DOI:

https://doi.org/10.1478/AAPP.91S2A1

Keywords:

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

Abstract

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.

Author Biography

  • Josef Mikes, Palacky University Olomouc, Department of Algebra and Geometry 17. listopadu 12, 771 46 Olomouc
    Professor
Archimede by Domenico Fetti (1620)

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Published

2013-06-06

Issue

Vol 91, SUPPLEMENT NO 2 (2013): PISRS Proceedings (Part II)

Section

PISRS: Analysis, Differential Geometry and Mechanics

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