ON GENERALIZED QUASI-CONFORMAL N(k, μ)-MANIFOLDS

The object of the present paper is to introduce a new curvature tensor, named \textit{generalized quasi-conformal curvature tensor} which bridges conformal curvature tensor, concircular curvature tensor, projective curvature tensor and conharmonic curvature tensor. Flatness and symmetric properties...

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Veröffentlicht in:Communications of the Korean Mathematical Society 2016, 31(1), , pp.163-176
Hauptverfasser: Baishya, Kanak Kanti, Chowdhury, Partha Roy
Format: Artikel
Sprache:eng
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Zusammenfassung:The object of the present paper is to introduce a new curvature tensor, named \textit{generalized quasi-conformal curvature tensor} which bridges conformal curvature tensor, concircular curvature tensor, projective curvature tensor and conharmonic curvature tensor. Flatness and symmetric properties of \textit{generalized quasi-conformal curvature tensor} are studied in the frame of $(k,\mu )$-contact metric manifolds. KCI Citation Count: 5
ISSN:1225-1763
2234-3024
DOI:10.4134/CKMS.2016.31.1.163