Results 81 to 90 of about 110,284 (194)

Timelike surfaces with Bertrand geodesic curves in Minkowski 3–space

AIP Advances
Geodesic 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

Ruled Surfaces and Their Geometric Invariants via the Orthogonal Modified Frame in Minkowski 3-Space

Mathematics
Ruled surfaces in Minkowski 3-space play a crucial role in differential geometry and have significant applications in physics and engineering. This study explores the fundamental properties of ruled surfaces via orthogonal modified frame in Minkowski ...
Emad Solouma, Ibrahim Al-Dayel, Mohamed A. Abdelkawy   +2 more
doaj   +1 more source

NON-NULL CURVES OF TZITZEICA TYPE IN MINKOWSKI 3-SPACE [PDF]

Romanian Journal of Mathematics and Computer Science, 2014
In this paper, we study non-null curves of Tzitzeica type in Minkowski 3-space E_1^3 . We find a simple link between Tzitzeica curves and Rectifying curves in E_1^3.
Muhittin Evren AYDIN, Mahmut ERGÜT
doaj  

On Gauge‐Invariant Entire Function Regulators and UV Finiteness in Non Local Quantum Field Theory

Annalen der Physik, Volume 538, Issue 4, April 2026.
We regulate the theory with an entire function of the covariant operator F(□/M∗2)$F(\square /M^{2}_{*})$. In the perturbative vacuum this becomes a momentum‐space factor F(−p2/M∗2)$F(-p^{2}/M^{2}_{*})$ that exponentially damps high momenta, most transparent after Wick rotation, rendering loop integrals UV finite.
J. W. Moffat, E. J. Thompson
wiley   +1 more source

Universal Entanglement and an Information‐Complete Quantum Theory

Advanced Physics Research, Volume 5, Issue 4, April 2026.
This Perspective summarize an informationcomplete quantum theory which describes a fully quantum world without any classical systems and concepts. Here spacetime/gravity, having to be a physical quantum system, universally entangles matter (matter fermions and their gauge fields) as an indivisible trinity, and encodes information‐complete physical ...
Zeng‐Bing Chen
wiley   +1 more source

Osculating Mate of a Curve in Minkowski 3-Space

Axioms
In 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, Hasan Çakır, Mustafa Özdemir   +2 more
doaj   +1 more source

Frenet frames and invariants of timelike ruled surfaces

Ain Shams Engineering Journal, 2013
In this study we give the Frenet frames and Frenet invariants of timelike ruled surfaces. We show that a timelike ruled surface and its directing cone have the same base of Frenet frame.
Mehmet Önder, H. Hüseyin Uğurlu
doaj   +1 more source

Isoperimetric inequalities on slabs with applications to cubes and Gaussian slabs

Communications on Pure and Applied Mathematics, Volume 79, Issue 4, Page 1012-1072, April 2026.
Abstract We study isoperimetric inequalities on “slabs”, namely weighted Riemannian manifolds obtained as the product of the uniform measure on a finite length interval with a codimension‐one base. As our two main applications, we consider the case when the base is the flat torus R2/2Z2$\mathbb {R}^2 / 2 \mathbb {Z}^2$ and the standard Gaussian measure
Emanuel Milman
wiley   +1 more source

Geometric approaches to establish the fundamentals of Lorentz spaces $\mathbb{R}_2^3$ and $\mathbb{R}_1^2$ [PDF]

Mathematica Bohemica
The aim of this paper is to investigate the orthogonality of vectors to each other and the Gram-Schmidt method in the Minkowski space $\mathbb{R}_2^3$.
Sevilay Çoruh Şenocak, Salim Yüce
doaj   +1 more source

Characterizations of Spacelike Slant Helices In Minkowski 3-Space

Annals of the Alexandru Ioan Cuza University - Mathematics, 2014
Abstract In this paper, we investigate tangent indicatrix, principal normal indicatrix and binormal indicatrix of a spacelike curve with spacelike, timelike and null principal normal vector in Minkowski 3-space E3 1 and we construct their Frenet equations and curvature functions.
Gök, I., Nurkan, S. Kaya, Ilarslan, K., Kula, L., Altinok, M.   +4 more
openaire   +2 more sources