Results 31 to 40 of about 2,583,298 (291)

Hamiltonian flows on null curves [PDF]

Nonlinearity, 2010
14 pages, v2: final version; minor changes in the ...
E. Musso, NICOLODI, Lorenzo
openaire   +5 more sources

A natural Frenet frame for null curves on the lightlike cone in Minkowski space R 2 4 $\mathbb{R} ^{4}_{2}$

Journal of Inequalities and Applications, 2020
In this paper, we investigate the representation of curves on the lightlike cone Q 2 3 $\mathbb {Q}^{3}_{2}$ in Minkowski space R 2 4 $\mathbb {R}^{4}_{2}$ by structure functions.
Nemat Abazari, Martin Bohner, Ilgin Sağer, Alireza Sedaghatdoost, Yusuf Yayli   +4 more
doaj   +1 more source

Some Characterizations of Generalized Null Scrolls

Mathematics, 2019
In this work, a family of ruled surfaces named generalized null scrolls in Minkowski 3-space are investigated via the defined structure functions. The relations between the base curve and the ruling flow of the generalized null scroll are revealed.
Jinhua Qian, Xueshan Fu, Seoung Dal Jung   +2 more
doaj   +1 more source

Holographic integral geometry with time dependence

Journal of High Energy Physics, 2020
We write down Crofton formulas — expressions that compute lengths of space- like curves in asymptotically AdS3 geometries as integrals over kinematic space — which apply when the curve and/or the background spacetime is time-dependent.
Bartłomiej Czech, Yaithd D. Olivas, Zi-zhi Wang   +2 more
doaj   +1 more source

The quantum null energy condition in curved space [PDF]

Classical and Quantum Gravity, 2017
Abstract The quantum null energy condition (QNEC) is a conjectured bound on components ( T
Zicao Fu, Jason Koeller, Donald Marolf
openaire   +5 more sources

Some Characteristic Properties of Non-Null Curves in Minkowski 3-Space ${𝔼}_1^3$

Mathematics, 2023
This paper gives new characteristic properties of non-null spherical and rectifying curves in Minkowski 3-space E13. In the light of the causal characteristics, we give some representations of rectifying non-null curves.
Areej A. Almoneef, Rashad A. Abdel-Baky
doaj   +1 more source

'Proper acceleration' of a null geodesic in curved spacetime [PDF]

Classical and Quantum Gravity, 2003
Summary: Given a null geodesic in Minkowski spacetime, there exists a one-parameter family of observers in `hyperbolic' motion which approaches the null geodesic as the parameter \(x_0\) approaches zero. It is well known that the proper acceleration of the observers in the family approaches infinity as their world line approaches the null geodesic. The
Tian, Guihua, Zheng, Zhao, Liang, Canbin
openaire   +1 more source

Transversal Intersection Curves of Two Surfaces in Minkowski 3-Space

Selecciones Matemáticas, 2018
In this paper, we study the differential geometry of the transversal intersection curve of two surfaces in Minkowski 3-space, where each pair satisfies the following types spacelike-lightlike, timelike-lightlike and lightlike-lightlike.
Osmar Alêssio, Sayed A.-N. Badr, Soad A. Hassan, Luciana A. Rodrigues, Fábio N. Silva, M. A. Soliman   +5 more
doaj   +1 more source

P-curve accurately rejects evidence for homeopathic ultramolecular dilutions [PDF]

PeerJ, 2019
Background P-curve has been proposed as a statistical test of evidential value. The distributions of sets of statistically significant p-values are tested for skewness.
Samuel Reisman, Mostafa Balboul, Tashzna Jones   +2 more
doaj   +2 more sources

Null Cartan curve variations in 3D semi-Riemannian manifold

, 2021
The aim of this study is to investigate the variations of the Bishop frame curvatures for null Cartan curves in semi-Riemannian manifolds. The Killing equations in terms of the variations of the Bishop curvatures along the null Cartan curve is especially
Ozdemir, Zehra
core   +1 more source