Results 11 to 20 of about 182,921 (280)

Curvature tensor in discrete gravity

open access: yesEuropean Physical Journal C: Particles and Fields, 2023
We study numerically the curvature tensor in a three-dimensional discrete space. Starting from the continuous metric of a three-sphere, we transformed it into a discrete space using three integers $$n_1, n_2$$ n 1 , n 2 , and $$n_3$$ n 3 .
Ali H. Chamseddine   +2 more
doaj   +3 more sources

Relativistic segnificance of curvature tensors

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1982
In thi paper new curvature tensors have been defined on the lines of Weyl's projective curvature tensor and it has been shown that the “distribution” (order in which the vectors in question are arranged before being acted upon by the tensor in question ...
G. P. Pokhariyal
doaj   +2 more sources

Curvature tensors in Kaehler manifolds [PDF]

open access: yesTransactions of the American Mathematical Society, 1973
Curvature tensors of Kaehler type (or type K) are defined on a hermitian vector space and it has been proved that the real vector space L K ( V ) {\mathcal {L}_K}(V) of curvature tensors of type K on V is isomorphic with the vector ...
openaire   +3 more sources

Deszcz Pseudo Symmetry Type LP-Sasakian Manifolds

open access: yesAnnals of the West University of Timisoara: Mathematics and Computer Science, 2016
Recently the present authors introduced the notion of generalized quasi-conformal curvature tensor which bridges Conformal curvature tensor, Concircular curvature tensor, Projective curvature tensor and Conharmonic curvature tensor.
Baishya Kanak Kanti   +1 more
doaj   +1 more source

On the Geometry of the Riemannian Curvature Tensor of Nearly Trans-Sasakian Manifolds

open access: yesAxioms, 2023
This paper presents the results of fundamental research into the geometry of the Riemannian curvature tensor of nearly trans-Sasakian manifolds. The components of the Riemannian curvature tensor on the space of the associated G-structure are counted, and
Aligadzhi R. Rustanov
doaj   +1 more source

The Maxwell Lagrangian in purely affine gravity [PDF]

open access: yes, 2008
The purely affine Lagrangian for linear electrodynamics, that has the form of the Maxwell Lagrangian in which the metric tensor is replaced by the symmetrized Ricci tensor and the electromagnetic field tensor by the tensor of homothetic curvature, is ...
Eddington A. S.   +10 more
core   +1 more source

Higher-curvature corrections and tensor modes [PDF]

open access: yesPhysical Review D, 2021
Higher-curvature corrections to the effective gravitational action may leave signatures in the spectrum of primordial tensor perturbations if the inflationary energy scale is sufficiently high. In this paper we further investigate the effects of a coupling of the Inflaton field to higher-curvature tensors in models with a minimal breaking of conformal ...
Giarè, William   +2 more
openaire   +3 more sources

Some Curvature Conditions on a Para-Sasakian Manifold with Canonical Paracontact Connection

open access: yesInternational 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
doaj   +1 more source

A new curvature-like tensor in an almost contact Riemannian manifold

open access: yesPracì Mìžnarodnogo Geometričnogo Centru, 2016
In a M. Prvanović’s paper [5], we can find a new curvature-like tensor in an almost Hermitian manifold.In this paper, we define a new curvature-like tensor, named contact holomorphic Riemannian, briefly (CHR), curvature tensor in an almost ...
Koji Matsumoto
doaj   +1 more source

The Wagner Curvature Tensor in Nonholonomic Mechanics [PDF]

open access: yes, 2003
We present the classical Wagner construction from 1935 of the curvature tensor for completely nonholonomic manifolds in both invariant and coordinate way.
Dragovic, Vladimir, Gajic, Borislav
core   +1 more source

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