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Fortschritte der Physik, Volume 73, Issue 9-10, October 2025.Abstract The unification of conformal and fuzzy gravities with internal interactions is based on the facts that i) the tangent group of a curved manifold and the manifold itself do not necessarily have the same dimensions and ii) both gravitational theories considered here have been formulated in a gauge theoretic way.
Gregory Patellis +3 more
wiley +1 more source
Generalized Bertrand curves with timelike (1,3)-normal plane in Minkowski space-time
Kuwait Journal of Science, 2015 In this paper, we reconsider the (1,3)-Bertrand curves with respect to the casualcharacters of (1,3)-normal plane which is a plane spanned by the principal normal andthe second binormal vector fields of the given curve.
ALİ UCUM +2 more
doaj
Osculating Mate of a Curve in Minkowski 3-Space
AxiomsIn this paper, we introduce and develop the concept of osculating curve pairs in the three-dimensional Minkowski space. By defining a vector lying in the intersection of osculating planes of two non-lightlike curves, we characterize osculating mates ...
İskender Öztürk +2 more
doaj +1 more source
DUAL TIMELIKE NORMAL AND DUAL TIMELIKE SPHERICAL CURVES IN DUAL MINKOWSKI SPACE
, 2019 : In this paper, we give characterizations of dual timelike normal and dual timelike spherical curves in the dual Minkowski 3-space and we show that every dual timelike normal curve is also a dual timelike spherical curve.Keywords: Normal curves, Dual ...
ÖNDER, Mehmet
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Singularities of Osculating Developable Surfaces of Timelike Surfaces along Curves
, 2022 In this paper, we focus on a developable surface tangent to a timelike surface along a curve in Minkowski 3-space, which is called the osculating developable surface of the timelike surface along the curve.
Yuan Chang +3 more
core +1 more source
Spacelike and timelike admissible Smarandache curves in pseudo-Galilean space
, 2019 In this paper, we study space and timelike admissible Smarandache curves in the pseudo-Galilean space G 13 . Also, we obtain Smarandache curves of the position vector of space and timelike arbitrary curve with some of its special curves.
M. Khalifa Saad
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A new approach to timelike surfaces which contain inclined curves as geodesics
, 2023 © 2019, Foundation for Scientific Research and Technological Innovation.We study timelike surface, curve pairs by using their curvature properties. We assume that timelike surfaces whose one of the principal curvatures is identically constant, have ...
YILMAZ, SÜHA, Ünlütürk, Yasin
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Timelike surfaces with Bertrand geodesic curves in Minkowski 3–space
AIP AdvancesGeodesic curves on a surface play an essential role in reasonable implementation. A curve on a surface is a geodesic curve if its principal normal vector is aligned with the surface normal. Using the Serret–Frenet frame, the timelike (TL) surfaces can be
A. A. Almoneef, R. A. Abdel-Baky
doaj +1 more source
Entropic interpretation of Einstein equation in dS/CFT
Journal of High Energy PhysicsIn this paper, we demonstrate that the first law of holographic pseudo-entropy, which is a non-Hermitian generalization of entanglement entropy in a two-dimensional conformal field theory (CFT), is equivalent to the perturbative Einstein equation in ...
Kosei Fujiki +4 more
doaj +1 more source
TIMELIKE DIRECTIONAL TUBULAR SURFACES
, 2017 This study aimed to introduce a new version of timelike tubular surfaces in E-1(3). Firstly, we define a new adapted frame along a spacelike space curve, and denote this the q-frame. We then derive a relationship between the Frenet frame and the q-frame.
Tozak, Hatice +2 more
core