Results 41 to 50 of about 2,097,491 (204)
One-dimensional Carrollian fluids. Part I. Carroll-Galilei duality
Journal of High Energy PhysicsGalilean and Carrollian algebras acting on two-dimensional Newton-Cartan and Carrollian manifolds are isomorphic. A consequence of this property is a duality correspondence between one-dimensional Galilean and Carrollian fluids.
Nikolaos Athanasiou +3 more
doaj +1 more source
Isometric immersions into three‐dimensional unimodular metric Lie groups
Journal 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
On bi-null Cartan curves in semi-Euclidean 6-space with index 3
, 2016 In this paper, we study bi-null curves in semi-Euclidean 6-space with index 3, R-3(6). We construct the Frenet frame and Cartan curvature functions of bi-null curves in R-3(6).
Ucum, Ali +2 more
core +1 more source
A study on null cartan curve in Minkowski 3-space
, 2020 Null cartan curves have been studied by some geometers in both Euclidean and Minkowski spaces, but some special characters of the curves are not considered.
M. Isah, M. Külahcı
semanticscholar +1 more source
Surface subgroups for cocompact lattices of isometries of H2n$\mathbb {H}^{2n}$
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract We prove the existence of surface subgroups within any cocompact lattice Γ$\Gamma$ in SO(2n,1)$\mathrm{SO}(2n,1)$ for n⩾2$n\geqslant 2$. This result addresses the cases missing from the work of Hamenstädt in 2015, who constructed surface subgroups in cocompact lattices for all other rank‐1 simple Lie groups of noncompact type.
Jeremy Kahn, Zhenghao Rao
wiley +1 more source
On two structural tensors of an acm-structure
Дифференциальная геометрия многообразий фигурAlmost contact metric structures on odd-dimensional manifolds are considered. The first group of the Cartan structural equations of an arbitrary almost contact metric structure written in an A-frame (i.
M. B. Banaru
doaj +1 more source
Дифференциальная геометрия многообразий фигур, 2019 This research is realized by Cartan — Laptev method (with prolongations and scopes, moving frame and exterior forms). In this paper we consider a space П of centered m-planes (a space of all centered planes of the dimension m). This space is considered
Е. Belova, O. Belova
doaj +1 more source
Simple homotopy theory for Fukaya categories
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract We develop a categorical framework for simple homotopy theory in Fukaya categories, based on the fundamental group of the ambient symplectic manifold. When the first Chern class vanishes, we show that any isomorphism in the Fukaya category of a Weinstein manifold has trivial Whitehead torsion.
Yonghwan Kim
wiley +1 more source
Newton-Cartan Gravity in Noninertial Reference Frames
, 2014 We study properties of Newton-Cartan gravity under transformations into all noninertial, nonrelativistic reference frames. The set of these transformations has the structure of an infinite dimensional Lie group, called the Galilean line group, which contains as a subgroup the Galilei group.
Rodriguez, Leo +2 more
openaire +2 more sources
A new frame for non-lightlike curves in Minkowski 3-space: hybrid frame
Demonstratio MathematicaIn this study, we introduce a hybrid frame consisting of elliptic, hyperbolic, and parabolic vectors for the study of non-lightlike curves in Minkowski 3-space.
Öztürk İskender +2 more
doaj +1 more source