Results 1 to 10 of about 54 (54)

Curves in the Lorentz-Minkowski plane: elasticae, catenaries and grim-reapers

Open Mathematics, 2018
This article is motivated by a problem posed by David A. Singer in 1999 and by the classical Euler elastic curves. We study spacelike and timelike curves in the Lorentz-Minkowski plane 𝕃2 whose curvature is expressed in terms of the Lorentzian ...
Castro Ildefonso, Castro-Infantes Ildefonso, Castro-Infantes Jesús   +2 more
doaj   +1 more source

On tangent bundles of Walker four-manifolds

Open Mathematics
The aim of this study is to explore the complete lifts of almost Norden structures on tangent bundles of Walker four-manifolds. Furthermore, we examine the integrability conditions of the complete lifts JC{J}^{C} of the proper almost complex structure ...
Çayir Haşim, Güler Erkan, Köseoğlu Gökhan   +2 more
doaj   +1 more source

Symmetry and pseudosymmetry properties with Ricci soliton of the Reissner-Nordström-de Sitter spacetime

Nuclear Physics B
The primary objective of the article is to investigate the symmetry and pseudosymmetry properties of the Reissner-Nordström-de Sitter (briefly, RNdS) spacetime. The secondary aim of the paper is to explore the notion of Ricci solitons in RNdS spacetimes.
Absos Ali Shaikh, Kamiruzzaman
doaj   +1 more source

Pseudosymmetry and curvature inheritance of the interior black hole spacetime

Physics Letters B
The notion of pseudosymmetry by Adamów and Deszcz [1] generalizes the concept of local symmetry and semisymmetry, and it serves as a model of various spacetimes. The classification of pseudosymmetric spacetimes has been studied in [2].
Absos Ali Shaikh, Foued Aloui, Kamiruzzaman, Ibrahim Al-Dayel   +3 more
doaj   +1 more source

A new frame for non-lightlike curves in Minkowski 3-space: hybrid frame

Demonstratio Mathematica
In this study, we introduce a hybrid frame consisting of elliptic, hyperbolic, and parabolic vectors for the study of non-lightlike curves in Minkowski 3-space.
Öztürk İskender, Çelik Oğuzhan, Çakır Hasan   +2 more
doaj   +1 more source

Null Distance and Convergence of Lorentzian Length Spaces. [PDF]

Ann Henri Poincare, 2022
Kunzinger M, Steinbauer R.
europepmc   +1 more source

Polyharmonic hypersurfaces into pseudo-Riemannian space forms. [PDF]

Ann Mat Pura Appl, 2023
Branding V, Montaldo S, Oniciuc C, Ratto A.   +3 more
europepmc   +1 more source

The Singularity Theorems of General Relativity and Their Low Regularity Extensions. [PDF]

Jahresber Dtsch Math Ver, 2023
Steinbauer R.
europepmc   +1 more source

Hyperbolic angles in Lorentzian length spaces and timelike curvature bounds. [PDF]

J Lond Math Soc, 2023
Beran T, Sämann C.
europepmc   +1 more source

Curvature properties of φ-null Osserman Lorentzian S-manifolds

Open Mathematics, 2014
Brunetti Letizia, Caldarella Angelo
doaj   +1 more source