Results 21 to 30 of about 527,719 (327)
Electrodynamics in Euclidean Space Time Geometries
Open Physics, 2019 In this article it is proven that Maxwell’s field equations are invariant for a real orthogonal Cartesian space time coordinate transformation if polarization and magnetization are assumed to be possible in empty space. Furthermore, it is shown that this
Schliewe Jörn
doaj +1 more source
Generalized Helicoidal Surfaces in Euclidean 5-space
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 In this paper, we study generalized helicoidal surfaces in Euclidean 5-space. We obtain the necessary and sufficient conditions for generalized helicoidal surfaces in Euclidean 5-space to be minimal, flat or of zero normal curvature tensor, which are ...
Uçum Ali, Sakaki Makoto
doaj +1 more source
, 2010 Of those gauge theories of gravity known to be equivalent to general relativity, only the biconformal gauging introduces new structures - the quotient of the conformal group of any pseudo-Euclidean space by its Weyl subgroup always has natural symplectic
Abraham R. H. +7 more
core +1 more source
Self-dual solutions of Yang-Mills theory on Euclidean AdS space [PDF]
, 2009 We find non-trivial, time-dependent solutions of the (anti) self-dual Yang-Mills equations in the four dimensional Euclidean Anti-de Sitter space. In contrast to the Euclidean flat space, the action depends on the moduli parameters and the charge can ...
A. M. Jaffe +3 more
core +2 more sources
On geometry on a two-dimensional plane in a five-dimensional pseudo-Euclidean space of index two [PDF]
E3S Web of ConferencesThe study of the geometry of surfaces having a codimension greater than one in multidimensional spaces is one of the most difficult problems in geometry. When the multidimensional geometry under consideration has a pseudo-Euclidean metric, its complexity
Mamadaliev Botirjon +2 more
doaj +1 more source
On the relation between Euclidean and Lorentzian 2D quantum gravity [PDF]
, 1999 Starting from 2D Euclidean quantum gravity, we show that one recovers 2D Lorentzian quantum gravity by removing all baby universes. Using a peeling procedure to decompose the discrete, triangulated geometries along a one-dimensional path, we explicitly ...
Ambjørn +8 more
core +3 more sources
IEEE Access, 2022 We propose a globally asymptotically convergent hybrid observer for the rigid body rotation and translation system evolving on the special Euclidean group SE(3) in the presence of intermittent measurements of the pose and continuous measurements of the ...
Soham Shanbhag, Dong Eui Chang
doaj +1 more source
Random walks in Euclidean space
, 2015 Consider a sequence of independent random isometries of Euclidean space with a previously fixed probability law. Apply these isometries successively to the origin and consider the sequence of random points that we obtain this way.
Arnol'd +10 more
core +1 more source
Topologies of Bihyperbolic Numbers
Mathematics, 2022 In this paper, we establish a correlation between the bihyperbolic numbers set and the semi-Euclidean space. There are three different norms on the semi-Euclidean space that allow us to define three different hypersurfaces on semi-Euclidean space. Hence,
Ana Savić +3 more
doaj +1 more source
Observer-Based Controller Design for Systems on Manifolds in Euclidean Space
, 2018 A method of designing observers and observer-based tracking controllers is proposed for nonlinear systems on manifolds via embedding into Euclidean space and transversal stabilization.
chen, chen, kalman
core +1 more source