Results 1 to 10 of about 440 (55)

Non-reductive spaces with equiaffine connections of nonzero curvature [PDF]

Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2021
The introduction of this article states the object of our investigation which is structures on homogeneous spaces. The problem of establishing links between the curvature and the structure of a manifold is one of the important problems of geometry.
Mozhey, Natal’ya Pavlovna
doaj   +1 more source

Lie algebras of differentiations of linear algebras over a field

Дифференциальная геометрия многообразий фигур, 2021
In this paper, we study a system of linear equations that define the Lie algebra of differentiations DerA of an arbitrary finite-dimensional linear algebra over a field.
A. Ya. Sultanov, M.V. Glebova, O.V. Bolotnikova   +2 more
doaj   +1 more source

Contact Geometry of Curves

Symmetry, Integrability and Geometry: Methods and Applications, 2009
Cartan's method of moving frames is briefly recalled in the context of immersed curves in the homogeneous space of a Lie group $G$. The contact geometry of curves in low dimensional equi-affine geometry is then made explicit.
Peter J. Vassiliou
doaj   +1 more source

Comparing three possible hypoelliptic Laplacians on the 5-dimensional Cartan group via div-curl type estimates

Advanced Nonlinear Studies
On general Carnot groups, the definition of a possible hypoelliptic Hodge-Laplacian on forms using the Rumin complex has been considered in (M. Rumin, “Differential geometry on C-C spaces and application to the Novikov-Shubin numbers of nilpotent Lie ...
Baldi Annalisa, Tripaldi Francesca
doaj   +1 more source

Surface measure on, and the local geometry of, sub-Riemannian manifolds. [PDF]

Calc Var Partial Differ Equ, 2023
Don S, Magnani V.
europepmc   +1 more source

Integral Betti signatures of brain, climate and financial networks compared to hyperbolic, Euclidean and spherical models. [PDF]

Sci Rep
Caputi L, Pidnebesna A, Hlinka J.
europepmc   +1 more source

Shifted Poisson structures on higher Chevalley-Eilenberg algebras. [PDF]

Lett Math Phys
Kemp C, Laugwitz R, Schenkel A.
europepmc   +1 more source

Topology-preserving Hodge decomposition in the Eulerian representation. [PDF]

Beijing J Pure Appl Math
Su Z, Tong Y, Wei GW.
europepmc   +1 more source

Graded hypoellipticity of BGG sequences. [PDF]

Ann Glob Anal Geom (Dordr), 2022
Dave S, Haller S.
europepmc   +1 more source

Jean-Marie Souriau's Symplectic Foliation Model of Sadi Carnot's Thermodynamics. [PDF]

Entropy (Basel)
Barbaresco F.
europepmc   +1 more source