Results 21 to 30 of about 182,921 (280)

A (CHR)3-flat trans-Sasakian manifold

Pracì Mìžnarodnogo Geometričnogo Centru, 2019
In [4] M. Prvanovic considered several curvaturelike tensors defined for Hermitian manifolds. Developing her ideas in [3], we defined in an almost contact Riemannian manifold another new curvaturelike tensor field, which is called a contact ...
Koji Matsumoto
doaj   +1 more source

GENERELIZED CONHARMONIC CURVATURE TENSOR OF NEARLY KAHLER MANIFOLD

Tikrit Journal of Pure Science, 2018
In this paper we study the relationship between tensor algebraic curvature tensor, and General conharmonic curvature tensor of Nearly Kahler manifold, i. e. it has a classical symmetry properties of the Riemann carvatur tensor.
Ali A. Shihab, Dhabiaʼa M. Ali
doaj   +1 more source

Inflationary Perturbations in Palatini Generalised Gravity [PDF]

, 2010
We examine the generation of primordial perturbations during an inflationary epoch in generalised theories of gravity when the equations of motion are derived using the Palatini variational principle.
A. De Felice, A. R. Liddle, C. W. Misner, Carlo R. Contaldi, Nicola Tamanini, P. Wang, V. Faraoni, V. Mukhanov, Y. Fujii   +8 more
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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
doaj   +1 more source

Extracting the quantum geometric tensor of an optical Raman lattice by Bloch-state tomography

Physical Review Research, 2023
In Hilbert space, the geometry of the quantum state is identified by the quantum geometric tensor (QGT), whose imaginary part is the Berry curvature and whose real part is the quantum metric tensor.
Chang-Rui Yi, Jinlong Yu, Huan Yuan, Rui-Heng Jiao, Yu-Meng Yang, Xiao Jiang, Jin-Yi Zhang, Shuai Chen, Jian-Wei Pan   +8 more
doaj   +1 more source

Cosmological perfect-fluids in f(R) gravity [PDF]

, 2018
We show that an n-dimensional generalized Robertson-Walker (GRW) space-time with divergence-free conformal curvature tensor exhibits a perfect fluid stress-energy tensor for any f(R) gravity model.
Capozziello, Salvatore, Mantica, Carlo Alberto, Molinari, Luca Guido   +2 more
core   +2 more sources

Class Nearly kahler Manifold of W – Projective Curvature Tensor

Tikrit Journal of Pure Science, 2023
The current study deals with new three classes of the  manifold of w – projective curvature tensor. The aim of this paper to calculate differential - geometrical and topological properties closest for new classes , and , through it ,an equivalence ...
Ali Khalaf Ali, A. A.Shihab
doaj   +1 more source

A symmetric 2-tensor canonically associated to Q-curvature and its applications

, 2016
In this article, we define a symmetric 2-tensor canonically associated to Q-curvature called J-tensor on any Riemannian manifold with dimension at least three.
Lin, Yueh-Ju, Yuan, Wei
core   +1 more source

On equivalency of various geometric structures [PDF]

, 2013
In the literature we see that after introducing a geometric structure by imposing some restrictions on Riemann-Christoffel curvature tensor, the same type structure given by imposing same restriction on other curvature tensors being studied.
Absos Ali, Haradhan Kundu, Shaikh
core   +1 more source

The Concircular Curvature Tensor Of The Locally Conformal Kahler Manifold

Tikrit Journal of Pure Science, 2019
In this research, we are calculated components conharmonic curvature tensor in some aspects Hermeation manifolding in particular of the Locally Conformal Kahler manifold.
Ali Abdalmajed. Shihab, Dheyaa Nathim Ahmed   +1 more
doaj   +1 more source