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RIEMANNIAN MANIFOLDS WITH A SEMI-SYMMETRIC METRIC P-CONNECTION

Chaubey, Sudhakar Kr;Lee, Jae Won;Yadav, Sunil Kr

  • Received : 2018.09.21
  • Accepted : 2019.03.04
  • Published : 2019.07.01

Abstract

We define a class of semi-symmetric metric connection on a Riemannian manifold for which the conformal, the projective, the concircular, the quasi conformal and the m-projective curvature tensors are invariant. We also study the properties of semisymmetric, Ricci semisymmetric and Eisenhart problems for solving second order parallel symmetric and skew-symmetric tensors on the Riemannian manifolds equipped with a semi-symmetric metric P-connection.

Keywords

Riemannian manifolds;second order parallel tensors;Ricci solitons;symmetric spaces;semi-symmetric metric connection;different curvature tensors