Results 111 to 120 of about 9,331,100 (206)

Geodesics in nilpotent Lie groups

open access: yes, 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

Differential forms in Carnot groups: a variational approach

open access: yesBruno 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  

Graded hypoellipticity of BGG sequences. [PDF]

open access: yesAnn Glob Anal Geom (Dordr), 2022
Dave S, Haller S.
europepmc   +1 more source

Nil-equivariant tropological sigma models on filtered geometries

open access: yesJournal 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   +2 more
doaj   +1 more source

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

open access: yesAdvanced 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

Eigenspace representations of nilpotent lie groups.

open access: yesMATHEMATICA SCANDINAVICA, 1981
Stetkaer, Henrik, Jacobsen, Jacob
openaire   +2 more sources

On Characterizing Nilpotent Lie algebras by their Multipliers

open access: yes, 2004
Authors have turned their attentions to special classes of nilpotent Lie algebras such as two-step nilpotent and filiform Lie algebras, in particular filiform Lie algebras are classified up to dimension eleven [8].
Attiogbe, Cyril Efoe
core  

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