Results 71 to 80 of about 13,955 (195)
Differential equations and integral characterizations of timelike and spacelike spherical curves in the Minkowski space-time $E_1^4$ [PDF]
Математичні Студії, 2013 In this paper we give differential equations characterizing timelike andspacelike curves lying on hyperbolic sphere $H_0^3 $ and Lorentzian sphere$S_1^3 $ in the Minkowski space-time $E_1^4 $.
H. H. Ugurlu, M. Onder, T. Kahraman
doaj
On totally umbilical and minimal surfaces of the Lorentzian Heisenberg groups
Mathematische Nachrichten, Volume 298, Issue 6, Page 1922-1942, June 2025.Abstract This paper has manifold purposes. We first introduce a description of the Gauss map for submanifolds (both spacelike and timelike) of a Lorentzian ambient space and relate the conformality of the Gauss map of a surface to total umbilicity and minimality.
Giovanni Calvaruso +2 more
wiley +1 more source
Evolutes of Hyperbolic Dual Spherical Curve in Dual Lorentzian 3-Space
International Journal of Analysis and Applications, 2017 Based on the E. Study's map, we study a timelike ruled surface as a curve on the hyperbolic dual unit sphere in dual Lorentzian 3-space $\mathbb{D}_{1}^{3}$.
Rashad A. Abdel-Baky
doaj +2 more sources
Curves in the Lorentz-Minkowski plane with curvature depending on their position
Open Mathematics, 2020 Motivated by the classical Euler elastic curves, David A. Singer posed in 1999 the problem of determining a plane curve whose curvature is given in terms of its position. We propound the same question in the Lorentz-Minkowski plane, focusing on spacelike
Castro Ildefonso +2 more
doaj +1 more source
Fortschritte der Physik, Volume 73, Issue 4, April 2025.Abstract The Kerr metric is a vacuum solution of the Einstein equations outside of a rotating black hole (BH), but what interior matter is actually rotating and sourcing the Kerr geometry? Here, a rotating exotic matter is described, which can source the Kerr geometry for the entire acceptable range of its spin parameter and be shown to saturate the ...
Ram Brustein, A.J.M. Medved
wiley +1 more source
ON THE DETERMINATION OF A DEVELOPABLE TIMELIKE RULED SURFACE
Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2009 : This paper gives a method for determining a developable timelike ruled surface by using dual vector calculus. A developable timelike ruled surface can be parameterized in the form m(t, u) =p(t) +u x(t) ( p(t) is called the base curve of m(t, u)).
Mustafa KAZAZ
doaj
Cumhuriyet Science Journal, 2018 The aim of presentpaper is to introduce and investigate the spacelike Bezier curve with atimelike principal normal in Minkowski 3-space. The Serret-Frenet frame,curvatures and the derivation formulas of the curve at the starting and endingpoints are ...
Hatice Kuşak Samancı
doaj +1 more source
Closed Timelike Curves Re-Examined
, 2004 17 pages, 6 postscript ...
Cooperstock, F. I., Tieu, S.
openaire +2 more sources
ON TIMELIKE BERTRAND CURVES IN MINKOWSKI 3-SPACE
Honam Mathematical Journal, 2016 Summary: In this paper, we study the timelike Bertrand curves in Minkowski 3-space. Since the principal normal vector of a timelike curve is spacelike, the Bertrand mate curve of this curve can be a timelike curve, a spacelike curve with spacelike principal normal or a Cartan null curve, respectively.
Ucum, Ali, Ilarslan, Kazim
openaire +4 more sources
Stationary‐Angle Conditions and Bertrand Offsets in Timelike‐Ruled Surfaces
Advances in Mathematical Physics, Volume 2025, Issue 1, 2025.In this study, we introduce the concept of stationary‐angle timelike‐ruled surfaces and examine their geometric properties, particularly in relation to their Bertrand offsets. A timelike‐ruled surface is generated by the motion of a straight ruling along a striction curve, and its structure is analyzed using the Blaschke and Darboux frames.
Areej A. Almoneef +2 more
wiley +1 more source