Results 61 to 70 of about 402,535 (171)

A direct proof of the Brunn-Minkowski inequality in Nilpotent Lie groups [PDF]

open access: yesarXiv, 2019
The purpose of this work is to give a direct proof of the multiplicative Brunn-Minkowski inequality in nilpotent Lie groups based on Hadwiger-Ohmann's one of the classical Brunn-Minkowski inequality in Euclidean space.
arxiv  

Elastic Sturmian spirals in the Lorentz-Minkowski plane

open access: yesOpen Mathematics, 2016
In this paper we consider some elastic spacelike and timelike curves in the Lorentz-Minkowski plane and obtain the respective vectorial equations of their position vectors in explicit analytical form.
Uçum Ali   +2 more
doaj   +1 more source

Geometrie der Zahlen. Ein Überblick [PDF]

open access: yesarXiv, 2016
This article provides a historical overview of Geometry of Numbers. 1. Figures, 2. The circuit problem and its relatives, 3. Minkowski lattice point set, 4. The young Hermann Minkowski, 5. The geometry of numbers develops, 6. Minkowski geometry in the context of time, 7. Successive minima, 8. Minkowski space-time, 9. Voronoi and Blichfeldt, 10.
arxiv  

Gauge theory on ρ-Minkowski space-time

open access: yesJournal of High Energy Physics
We construct a gauge theory model on the 4-dimensional ρ-Minkowski space-time, a particular deformation of the Minkowski space-time recently considered. The corresponding star product results from a combination of Weyl quantization map and properties of ...
Valentine Maris, Jean-Christophe Wallet
doaj   +1 more source

Direct Bethe-Salpeter solutions in Minkowski space

open access: yesEPJ Web of Conferences, 2016
We review a method to directly solve the Bethe-Salpeter equation in Minkowski space, both for bound and scattering states. It is based on a proper treatment of the many singularities which appear in the kernel and propagators.
Carbonell J., Karmanov V.A.
doaj   +1 more source

Brunn-Minkowski inequalities in product metric measure spaces [PDF]

open access: yesarXiv, 2017
Given one metric measure space $X$ satisfying a linear Brunn-Minkowski inequality, and a second one $Y$ satisfying a Brunn-Minkowski inequality with exponent $p\ge -1$, we prove that the product $X\times Y$ with the standard product distance and measure satisfies a Brunn-Minkowski inequality of order $1/(1+p^{-1})$ under mild conditions on the measures
arxiv  

Generalized open sets of Minkowski space [PDF]

open access: yesMathematica Moravica, 2015
We consider the Euclidean topology and s-topology on n-dimensional Minkowski space and investigate the interior and closure of the space cone and perforated space cone with respect to these topologies.
Ersoy Soley, Bilgin Merve, Ince Ibrahim
doaj  

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