Results 91 to 100 of about 293 (183)

Geodesics in nilpotent Lie groups

, 2005
We study the geodesics problem in Heisenberg group H (case SR and riemannian). The sheaf of infinitesimal automorphisms of the (2n,2n+1) distribution D over H is an infinite, transitive Lie algebra sheaf.
openaire   +2 more sources

Polynomial and horizontally polynomial functions on Lie groups. [PDF]

Ann Mat Pura Appl, 2022
Antonelli G, Le Donne E.
europepmc   +1 more source

Differential forms in Carnot groups: a variational approach

Bruno Pini Mathematical Analysis Seminar, 2011
Carnot groups (connected simply connected nilpotent stratified Lie groups) can be endowed with a complex of ``intrinsic'' differential forms. In this paper we want to provide an evidence of the intrinsic character of Rumin's complex, in the spirit of the
Annalisa Baldi
doaj  

Nil-equivariant tropological sigma models on filtered geometries

Journal of High Energy Physics
We investigate the behavior of tropological (tropical topological) sigma models on higher dimensional target spaces and show that higher dimensional spaces explicitly admit nested Maslov dequantizations which lead to nontrivial anisotropic filtration ...
Emil Albrychiewicz, Andrés Franco Valiente, Christopher Stites   +2 more
doaj   +1 more source

Graded hypoellipticity of BGG sequences. [PDF]

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

Analytic Torsion of Generic Rank Two Distributions in Dimension Five. [PDF]

J Geom Anal, 2022
Haller S.
europepmc   +1 more source

Eigenspace representations of nilpotent lie groups.

MATHEMATICA SCANDINAVICA, 1981
Stetkaer, Henrik, Jacobsen, Jacob
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Free Field Realisation of the Chiral Universal Centraliser. [PDF]

Ann Henri Poincare, 2023
Beem C, Nair S.
europepmc   +1 more source

Compact homogeneous Leviflat CR-manifolds. [PDF]

Complex Analysis Synerg, 2021
Al-Abdallah AR, Gilligan B.
europepmc   +1 more source