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Groups of basic automorphisms of chaotic Cartan foliations with Eresmann connection [PDF]

open access: yesИзвестия высших учебных заведений: Прикладная нелинейная динамика
The purpose of the work is to study the groups of basic automorphisms of chaotic Cartan foliations with Ehresmann connection. Cartan foliations form a category where automorphisms preserve not only the foliation, but also its transverse Cartan geometry ...
Zhukova, Nina Ivanovna   +1 more
doaj   +1 more source

Torsional string Newton-Cartan geometry for non-relativistic strings

open access: yesJournal of High Energy Physics, 2022
We revisit the formulation of non-relativistic (NR) string theory and its target space geometry. We obtain a new formulation in which the geometry contains a two-form field that couples to the tension current and that transforms under string Galilei ...
Leo Bidussi   +4 more
doaj   +1 more source

Constructing an explicit AdS/CFT correspondence with Cartan geometry

open access: yesNuclear Physics B, 2018
An explicit AdS/CFT correspondence is shown for the Lie group SO(4,2). The Lie symmetry structures allow for the construction of two physical theories through the tools of Cartan geometry.
Jeffrey S. Hazboun
doaj   +1 more source

Internal symmetry in Poincarè gauge gravity

open access: yesNuclear Physics B
We find a large internal symmetry within 4-dimensional Poincarè gauge theory.In the Riemann-Cartan geometry of Poincaré gauge theory the field equation and geodesics are invariant under projective transformation, just as in affine geometry.
James T. Wheeler
doaj   +1 more source

Applications of a Particular Four-Dimensional Projective Geometry to Galactic Dynamics

open access: yesGalaxies, 2018
Relativistic location systems that extend relativistic positioning systems show that pseudo-Riemannian space-time geometry is somehow encompassed in a particular four-dimensional projective geometry.
Jacques L. Rubin
doaj   +1 more source

Hardware‐Efficient Hamiltonian Simulation via Trotter‐Initialized Variational Optimization With Native Placement

open access: yesAdvanced Quantum Technologies, Volume 9, Issue 9, September 2026.
A new physics‐informed compilation framework bridges the gap between theoretical quantum simulations and noisy NISQ hardware. By combining native qubit placement with adaptive, variational circuit synthesis, this approach drastically reduces circuit depth and circumvents device noise, unlocking high‐fidelity quantum simulations on current processors ...
F. S. Luiz   +2 more
wiley   +1 more source

Some New Properties of Surfaces Generated by Null Cartan Curves

open access: yes, 2022
In this paper, some special types of surfaces with null Cartan base curve are investigated. The generating lines of the surfaces are chosen as a linear combination of Cartan frame fields with non-constant differentiable functions.
Ayşe YAVUZ   +3 more
core   +1 more source

On generalized P-reducible Finsler manifolds

open access: yesOpen Mathematics, 2018
The class of generalized P-reducible manifolds (briefly GP-reducible manifolds) was first introduced by Tayebi and his collaborates [1]. This class of Finsler manifolds contains the classes of P-reducible manifolds, C-reducible manifolds and Landsberg ...
Zamanzadeh Seyyed Mohammad   +2 more
doaj   +1 more source

Newton-Cartan D0 branes from D1 branes and integrability

open access: yesJournal of High Energy Physics, 2020
We explore analytic integrability criteria for D1 branes probing 4D relativistic background with a null isometry direction. We use both the Kovacic’s algorithm of classical (non)integrability as well as the standard formulation of Lax connections to show
Dibakar Roychowdhury
doaj   +1 more source

Isometric immersions into three‐dimensional unimodular metric Lie groups

open access: yesJournal of the London Mathematical Society, Volume 114, Issue 3, September 2026.
Abstract We study isometric immersions of surfaces into simply connected three‐dimensional unimodular Lie groups endowed with either Riemannian or Lorentzian left‐invariant metrics, assuming that Milnor's operator is diagonalizable in the Lorentzian case.
Ildefonso Castro   +2 more
wiley   +1 more source

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