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We investigate some features of concircular, conharmonic, and projective curvature tensors on 4-dimensional Lorentzian and Riemannian spaces. Using the known holonomy algebras for the metric signatures (+, +, +, −) and (+, +, +, +), we prove some theorems on these tensor elds.
KIRIK RÁCZ, BAHAR
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Traceless component of the conformal curvature tensor in Kähler manifold [PDF]
We investigate the traceless component of the conformal curvature tensor de-fined by (2.1) in Kähler manifolds of dimension> 4, and show that the traceless component is invariant under concircular change.
Shoichi Funabashi +7 more
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On the \(D\)-concircular curvature tensor of a generalized Sasakian-space-form
2021Summary: The object of this paper is to study of \(D\)-concircular curvature tensor on generalized Sasakian-space-forms. Actually we consider generalized Sasakian-space-forms when it is, respectively: \(D\)-concircularly flat; \(D\)-concircular-pseudosymmetric; \(D\)-concircularly Ricci-semisymmetric; \(D\)-concircularly symmetric; \(V(xi,X) .R = 0 ...
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Concircular curvature tensor on \(K\)-contact manifolds
2013Summary: The object of the present paper is to study \(\xi\)-concircularly flat, \(\phi\)-concircularly flat and concircularly semisymmetric \(K\)-contact manifolds. Beside these we also study \(K\)-contact manifolds satisfying \(Z(\xi,X). S = 0\).
Majhi, Pradip, Chand De, Uday
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On concircular and projective curvature tensors of a certain Weyl-Otsuki space of the second kind
Zbornik radova Prirodno-matematičkog fakulteta u Novom Sadu, serija Matematika, 1985zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Certain Results on \((k,\mu)\)-Contact Metric Manifold endowed with Concircular Curvature Tensor
Communications in Mathematics and Applications, 2023R. T. Naveen Kumar +3 more
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Z-symmetric manifold admitting concircular Ricci symmetric tensor
Afrika Matematika, 2020Fusun Özen Zengin
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Concircular Curvature on Warped Product Manifolds and Applications
Bulletin of the Malaysian Mathematical Sciences Society, 2019Uday Chand De +2 more
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EffectiveL p pinching for the concircular curvature
Journal of Geometric Analysis, 1996Emmanuel Hebey, Hebey Emmanuel
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SOME RESULTS ON CONCIRCULAR VECTOR FIELDS AND THEIR APPLICATIONS TO RICCI SOLITONS
Bulletin of the Korean Mathematical Society, 2015Bang-Yen Chen, Chen Bang-Yen
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