Results 21 to 30 of about 351 (243)
Some curvature restricted geometric structures for projective curvature tensors
International Journal of Geometric Methods in Modern Physics, 2018 The projective curvature tensor is an invariant under geodesic preserving transformations on semi-Riemannian manifolds. It possesses different geometric properties than other generalized curvature tensors. The main object of the present paper is to study some semisymmetric type and pseudosymmetric type curvature restricted geometric structures due to ...
Absos Ali Shaikh, Haradhan Kundu
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Curvature tensor of connection in principal bundle of Cartan's projective connection space
Дифференциальная геометрия многообразий фигур, 2019 We considered Cartan's projective connection space with structure equations generalizing the structure equations of the projective space and the condition of local projectivity (this condition is an analogue to the equiprojectivity condition in the ...
K. Bashashina
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On generalized projective curvature tensor of para-Kenmotsu manifolds
Miskolc Mathematical Notes, 2023 Summary: The object of the present paper is to generalize projective curvature tensor of para-Kenmotsu manifold with the help of a new generalized (0,2) symmetric tensor \(\mathcal{Z}\) introduced by \textit{C. A. Mantica} and \textit{Y. J. Suh} [Int. J. Geom. Methods Mod. Phys. 9, No. 1, 1250004, 21 p. (2012; Zbl 1244.53019)].
Raghuwanshi, Teerathram +3 more
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Pseudo‐projective and quasi‐conformal curvature tensors on Riemannian submersions
Mathematical Methods in the Applied Sciences, 2021 In this study, pseudo‐projective and quasi‐conformal curvature tensors on a Riemannian submersion have been examined and on a Riemannian submersion new curvature relations for pseudo‐projective curvature tensor and quasi‐conformal curvature tensor under certain conditions have been obtained.
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Some Curvature Conditions on a Para-Sasakian Manifold with Canonical Paracontact Connection
International Journal of Mathematics and Mathematical Sciences, 2012 We study canonical paracontact connection on a para-Sasakian manifold. We prove that a Ricci-flat para-Sasakian manifold with respect to canonical paracontact connection is an η-Einstein manifold.
Bilal Eftal Acet +2 more
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Сurvature-torsion tensor for Cartan connection
Дифференциальная геометрия многообразий фигур, 2019 A Lie group containing a subgroup is considered. Such a group is a principal bundle, a typical fiber of this principal bundle is the subgroup and a base is a homogeneous space, which is obtained by factoring the group by the subgroup.
Yu. Shevchenko
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Certain Curvature Conditions on Kenmotsu Manifolds and 🟉-η-Ricci Solitons
Axioms, 2023 The present paper deals with the investigations of a Kenmotsu manifold satisfying certain curvature conditions endowed with 🟉-η-Ricci solitons. First we find some necessary conditions for such a manifold to be φ-Einstein. Then, we study the notion of 🟉-η-
Halil İbrahim Yoldaş +2 more
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A Pseudo Projective Curvature Tensor on a Kenmotsu Manifold
SAMRIDDHI : A Journal of Physical Sciences, Engineering and Technology, 2021 The paper deals the properties of pseudo projective curvature tensor in Riemannian and Kenmotsu manifolds.
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Lifts of a Quarter-Symmetric Metric Connection from a Sasakian Manifold to Its Tangent Bundle
Mathematics, 2022 The objective of this paper is to explore the complete lifts of a quarter-symmetric metric connection from a Sasakian manifold to its tangent bundle.
Mohammad Nazrul Islam Khan +2 more
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Affine projection tensor geometry: Decomposing the curvature tensor when the connection is arbitrary and the projection is tilted [PDF]
Journal of Mathematical Physics, 1994 This paper constructs the geometrically natural objects which are associated with any projection tensor field on a manifold with any affine connection. The approaches to projection tensor fields which have been used in general relativity and related theories assume normal projection tensors of codimension one and connections which are metric compatible
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