Geometries of manifolds equipped with a Ricci (projection-Ricci) quarter-symmetric connection | Zendy

Wanxiao Tang | Zendy; Jon Yong | Zendy; Ho Yun | Zendy; Guoqing He | Zendy; Peibiao Zhao | Zendy

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Geometries of manifolds equipped with a Ricci (projection-Ricci) quarter-symmetric connection

Author(s) -

Wanxiao Tang,

Jon Yong,

Ho Yun,

Guoqing He,

Peibiao Zhao

Publication year - 2019

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1916237t

Subject(s) - ricci curvature , mathematics , curvature of riemannian manifolds , connection (principal bundle) , ricci flow , ricci decomposition , pure mathematics , manifold (fluid mechanics) , mathematical analysis , scalar curvature , topology (electrical circuits) , curvature , combinatorics , geometry , sectional curvature , mechanical engineering , engineering

We first introduce a Ricci quarter-symmetric connection and a projective Ricci quarter-symmetric connection, and then we investigate a Riemannian manifold admitting a Ricci (projective Ricci) quartersymmetric connection (M,g), and prove that a Riamannian manifold with a Ricci(projection-Ricci) quartersymmetric connection is of a constant curvature manifold. Furthermore, wederive that an Einstein manifold (M,g) is conformally flat under certain condition.

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