Results 31 to 40 of about 6,630 (141)
The Brunn-Minkowski inequality and the Heisenberg group [PDF]
, 2023 openThe core of this thesis is the Brunn-Minkowski inequality. We start proving the general version of the Brunn-Minkowski inequality in the Euclidean space, then we investigate the validity of a "geodesic" version of the Brunn-Minkowski inequality in ...
BENETTON, GIOELE
core
On Evolutes of Null Cartan Curves in Minkowski 4-Space
Journal of New Theory, 2021 This paper aims to discuss the theory of evolutes of null Cartan curves in Minkowski 4-space. In the second part, we present the basic concepts of curves in Minkowski 4-space with its Frenet equations.
Arfah Arfah
doaj
Darboux Vector in Four-Dimensional Space-Time
Advances in Mathematical Physics, 2022 As the space-time model of the theory of relativity, four-dimensional Minkowski space is the basis of the theoretical framework for the development of the theory of relativity.
Na Hu, Tingting Zhang, Yang Jiang
doaj +1 more source
Special Smarandache Curves in the Euclidean Space [PDF]
, 2010 In this work, we introduce some special Smarandache curves in the Euclidean space. We study Frenet-Serret invariants of a special case.
Ali, Ahmad
core +1 more source
On Isoperimetric Inequalities in Minkowski Spaces [PDF]
Journal of Inequalities and Applications, 2010 This paper gives a collection of isoperimetric-type inequalities involving convex bodies, their intersection and projection bodies, polars and Steiner symmetrals, and states some conjectures and open questions. It is shown how some of these inequalities are related to classic isoperimetric problems in Minkowski geometry.
Mustafaev Zokhrab, Martini Horst
openaire +4 more sources
Special helices on equiform differential geometry of timelike curves in E_1^4
Cumhuriyet Science Journal, 2021 In this paper, we introduce the moving Frenet frame along the timelike curve in E_1^4 and then Frenet formulas with the equiform parameter in the equiform geometry of the Minkowski space-time.
Fatma Bulut
doaj
Conformal Symmetry and Supersymmetry in Rindler Space
Universe, 2020 This paper addresses the fate of extended space-time symmetries, in particular conformal symmetry and supersymmetry, in two-dimensional Rindler space-time appropriate to a uniformly accelerated non-inertial frame in flat 1+1-dimensional space-time ...
Jan-Willem van Holten
doaj +1 more source
Entanglement in Unruh, Hawking, and Cherenkov radiation from a quantum optical perspective
Physical Review Research, 2022 Free quantum field theory in flat space-time is often believed to be well established, holding no surprises. We hope, by the end of this paper, to have demonstrated that surprises still exist.
Marlan O. Scully +2 more
doaj +1 more source
Vacuum thermal effects in flat space-time from conformal quantum mechanics
Journal of High Energy Physics, 2021 The generators of radial conformal symmetries in Minkowski space-time can be mapped to the generators of time evolution in conformal quantum mechanics.
Michele Arzano
doaj +1 more source
On the Weyl Problem in Minkowski Space [PDF]
International Mathematics Research Notices, 2021 Abstract Let $S$ be a closed surface of hyperbolic type. We show that, for every pair $(g_+,g_-)$ of negatively curved metrics over $S$, there exists a unique globally hyperbolic, maximal, and Cauchy compact Minkowski spacetime $X$ into which $(S,g_+)$ and $(S,g_-)$ isometrically embed as Cauchy surfaces in the future and past components,
openaire +2 more sources