RIEMANNIAN MANIFOLDS WITH A SEMI-SYMMETRIC METRIC P-CONNECTION
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...
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Veröffentlicht in: | Journal of the Korean Mathematical Society 2019, Vol.56 (4), p.1113-1129 |
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Hauptverfasser: | , , |
Format: | Artikel |
Sprache: | kor |
Online-Zugang: | Volltext |
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Zusammenfassung: | 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. |
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ISSN: | 0304-9914 |