Results 61 to 70 of about 29,700 (193)

Cosmological bouncing solutions in f(T, B) gravity

open access: yesEuropean Physical Journal C: Particles and Fields, 2020
Teleparallel Gravity offers the possibility of reformulating gravity in terms of torsion by exchanging the Levi-Civita connection with the Weitzenböck connection which describes torsion rather than curvature.
Maria Caruana   +2 more
doaj   +1 more source

Fubini-Study metrics and Levi-Civita connections on quantum projective spaces

open access: yesAdvances in Mathematics, 2021
We introduce analogues of the Fubini-Study metrics and the corresponding Levi-Civita connections on quantum projective spaces. We define the quantum metrics as two-tensors, symmetric in the appropriate sense, in terms of the differential calculi introduced by Heckenberger and Kolb.
openaire   +4 more sources

Active Particles in Tunable Compressible Environments

open access: yesSmall Science, Volume 6, Issue 5, May 2026.
Gold‐capped active microparticles powered by electric fields plough their way through a matrix of repulsive spheres, shoveling them aside. At high densities and field strengths, an initial strong direction fluctuation may compress the matrix asymmetrically and lead to an asymmetric reaction favoring sustained turns to the same side (spontaneous ...
Venkata Manikantha Sai Ganesh Tanuku   +5 more
wiley   +1 more source

Some Characterizations Of Surfaces Generated by Two Curves In Heis3

open access: yesSakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2018
Inthis paper, some characterizations ofsurfaces which are constructed by using the group operation in are given. Then, a newclassification for minimal factorable surfaces in is obtained.
Gülden Altay Suroğlu
doaj   +1 more source

A classification of locally homogeneous affine connections on compact surfaces

open access: yes, 2014
We classify the affine connections on compact orientable surfaces for which the pseudogroup of local isometries acts transitively. We prove that such a connection is either torsion-free and flat, the Levi-Civita connection of a Riemannian metric of ...
Godinez, Antonia Sánchez   +1 more
core   +1 more source

The Levi-Civita connections of manifolds with prescribed optical geometries

open access: yes, 2023
We explicitly derive the Christoffel symbols in terms of adapted frame fields for the Levi-Civita connection of a Lorentzian $n$-manifold $(M, g)$, equipped with a prescribed optical geometry of Kähler-Sasaki type. The formulas found in this paper have several important applications, such as determining the geometric invariants of Lorentzian manifolds ...
Alekseevsky, Dmitri V.   +3 more
openaire   +2 more sources

Effect of Field Line Torsion on the Polarization of ULF Waves

open access: yesJournal of Geophysical Research: Space Physics, Volume 131, Issue 5, May 2026.
Abstract In this paper we suggest a simple modification of the dipole magnetic field which introduces field‐aligned currents and torsion to the field lines. The resulting field lines are not contained in the meridional planes and have resemblance to the geomagnetic field lines in the dawn and dusk flanks of the magnetosphere. We analyze polarization of
K. Kabin, A. W. Degeling, R. Rankin
wiley   +1 more source

Embedding Riemannian Manifolds by the Heat Kernel of the Connection Laplacian [PDF]

open access: yes, 2017
Given a class of closed Riemannian manifolds with prescribed geometric conditions, we introduce an embedding of the manifolds into $\ell^2$ based on the heat kernel of the Connection Laplacian associated with the Levi-Civita connection on the tangent ...
Wu, Hau-tieng
core  

PP-waves with torsion and metric-affine gravity

open access: yes, 2005
A classical pp-wave is a 4-dimensional Lorentzian spacetime which admits a nonvanishing parallel spinor field; here the connection is assumed to be Levi-Civita. We generalise this definition to metric compatible spacetimes with torsion and describe basic
Alekseevsky D V   +14 more
core   +1 more source

Finite Element Approximation of the Levi-Civita Connection and Its Curvature in Two Dimensions

open access: yesFoundations of Computational Mathematics, 2022
We construct finite element approximations of the Levi-Civita connection and its curvature on triangulations of oriented two-dimensional manifolds. Our construction relies on the Regge finite elements, which are piecewise polynomial symmetric (0,2)-tensor fields possessing single-valued tangential-tangential components along element interfaces.
Berchenko-Kogan, Yakov, Gawlik, Evan S.
openaire   +3 more sources

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