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Effect of local fractional derivatives on Riemann curvature tensor [PDF]

open access: goldExamples and Counterexamples, 2022
In this paper, we give a main example indicating the ineffectiveness of the local fractional derivatives on the Riemann curvature tensor that is a common tool in calculating curvature of a Riemannian manifold. For this, first we introduce a general local
Muhittin Evren Aydin
doaj   +5 more sources

On Possible Minimal Length Deformation of Metric Tensor, Levi-Civita Connection, and the Riemann Curvature Tensor [PDF]

open access: goldPhysics, 2023
The minimal length conjecture is merged with a generalized quantum uncertainty formula, where we identify the minimal uncertainty in a particle’s position as the minimal measurable length scale.
Fady Tarek Farouk   +3 more
doaj   +4 more sources

Fractional Order Riemann Curvature Tensor in Differential Geometry

open access: goldInternational Journal of Analysis and Applications, 2022
This study discussed some interesting aspects and features of fractional curvature in the differential manifold. In particular, Riemannian fractional curvature tensor, Livi-Civita fractional connection and Bianchi fractional identity are presented.
Wedad Saleh
doaj   +5 more sources

M-eigenvalues of The Riemann Curvature Tensor [PDF]

open access: greenCommunications in Mathematical Sciences, 2018
The Riemann curvature tensor is a central mathematical tool in Einstein's theory of general relativity. Its related eigenproblem plays an important role in mathematics and physics.
Hua Xiang, L. Qi, Yimin Wei
semanticscholar   +7 more sources

The Riemann-Lovelock Curvature Tensor [PDF]

open access: greenClassical and Quantum Gravity, 2012
In order to study the properties of Lovelock gravity theories in low dimensions, we define the kth-order Riemann-Lovelock tensor as a certain quantity having a total 4k-indices, which is kth-order in the Riemann curvature tensor and shares its basic ...
David Kastor   +3 more
core   +4 more sources

String Corrections To The Riemann Curvature Tensor [PDF]

open access: greenModern Physics Letters A, 2011
The string corrections to the Riemann Curvature tensor are found to first order in the string slope parameter, here proportional to $\g$. This is done for D=10 supergravity, the presumed low energy limit of string theory.
S. Bellucci, D. O'Reilly
semanticscholar   +7 more sources

Coupling of quantum gravitational field with Riemann and Ricci curvature tensors [PDF]

open access: diamondEuropean Physical Journal C: Particles and Fields, 2021
The theoretical problem of establishing the coupling properties existing between the classical and quantum gravitational field with the Ricci and Riemann curvature tensors of General Relativity is addressed.
Claudio Cremaschini, Massimo Tessarotto
doaj   +3 more sources

M-Eigenvalues of the Riemann Curvature Tensor of Conformally Flat Manifolds [PDF]

open access: diamondCommunications in Mathematical Research, 2018
We generalized Xiang, Qi and Wei's results on the M-eigenvalues of Riemann curvature tensor to higher dimensional conformal flat manifolds. The expression of M-eigenvalues and M-eigenvectors are found in our paper.
Yun Miao, L. Qi, Yimin Wei
semanticscholar   +3 more sources

Orthogonal splitting of the Riemann curvature tensor and its implications in modeling compact stellar structures

open access: diamondNuclear Physics B
Although the interpretation of complexity in extended theories of gravity is available in the literature, its illustration in f(R,Lm,T) theory is still ambiguous.
A. Rehman   +3 more
doaj   +3 more sources

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