Results 11 to 20 of about 549 (94)
On pseudo-Riemannian manifolds with recurrent concircular curvature tensor [PDF]
Acta Mathematica Hungarica, 2012 It is proved that every concircularly recurrent manifold must be necessarily a recurrent manifold.
Olszak, K., Olszak, Z.
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ON THE CONCIRCULAR CURVATURE TENSOR OF A CONTACT METRIC MANIFOLD
Journal of the Korean Mathematical Society, 2005 Let \((M, g)\) be a Riemannian manifold and let \(R, C\) denote its Riemannian and Weyl conformal curvature tensors respectively. \((M, g)\) is semi-symmetric if \(R(X,Y)\cdot R=0,\;\forall \;X, Y\in TM\), where \(R(X,Y)\) acts on \(R\) as a derivation.
Blair, D. E. +2 more
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On Conformal and Concircular Diffeomorphisms of Eisenhart’s Generalized Riemannian Spaces
Mathematics, 2019 We consider conformal and concircular mappings of Eisenhart’s generalized Riemannian spaces. We prove conformal and concircular invariance of some tensors in Eisenhart’s generalized Riemannian spaces.
Miloš Z. Petrović +2 more
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On an Almost C(α)-Manifold Satisfying Certain Conditions on the Concircular Curvature Tensor [PDF]
Pure and Applied Mathematics Journal, 2015 We classify almost C(α)-manifolds, which satisfy the curvature conditions (Z ) (ξ,X)R=0, (Z ) (ξ,X) (Z ) =0, (Z ) (ξ,X)S=0 and (Z ) (ξ,X)P=0, where (Z ) is the concircular curvature tensor, P is the Weyl projective curvature tensor, S is the Ricci tensor and R is Riemannian curvature tensor of manifold.
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Ain Shams Engineering JournalThis paper presents a comprehensive analysis of advanced techniques for decomposing recurrent curvature tensors across diverse geometric frameworks. By integrating classical methodologies with modern approaches, we develop novel methods that enhance the ...
Sukh Pal Singh +4 more
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Letters in Mathematical PhysicsAbstract This article focuses on characterizing warped product manifolds through the flatness and the symmetry of the concircular curvature tensor. It is proved that the factor manifolds of a concircularly-flat warped product manifold have constant sectional curvatures as well as they are concircularly-flat.
Abdallah Abdelhameed Syied +3 more
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Normal paracontact metric space form on $W_0$-curvature tensor
Journal of Amasya University the Institute of Sciences and Technology, 2023 In this article, normal paracontact metric space forms are investigated on $W_0$-curvature tensor. Characterizations of normal paracontact space forms are obtained on $W_0$-curvature tensor.
Pakize Uygun +2 more
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Curvature tensors and Ricci solitons with respect to Zamkovoy connection in anti-invariant submanifolds of trans-Sasakian manifold [PDF]
Mathematica Bohemica, 2022 The present paper deals with the study of some properties of anti-invariant submanifolds of trans-Sasakian manifold with respect to a new non-metric affine connection called Zamkovoy connection.
Payel Karmakar
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Riemann solitons on generalized weakly ω-symmetric α-cosymplectic manifolds [PDF]
Surveys in Mathematics and its Applications, 2021 Generalized quasi-conformal curvature tensor (ω-tensor) has the flavor of conformal, conharmonic, concircular, projective, m-projective, W1-curvature, W2-curvature and W4-curvature tensors.
Sabina Eyasmin +2 more
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Totally geodesic submanifolds of a trans-Sasakian manifold; pp. 249–257 [PDF]
Proceedings of the Estonian Academy of Sciences, 2013 We consider invariant submanifolds of a trans-Sasakian manifold and obtain the conditions under which the submanifolds are totally geodesic. We also study invariant submanifolds of a trans-Sasakian manifold satisfying Z(X, Y).h = 0, where Z is the ...
Avik De
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