Results 81 to 90 of about 293 (183)
Existence of isoperimetric regions in sub-Finsler nilpotent groups
Analysis and Geometry in Metric SpacesWe consider a nilpotent Lie group with a bracket-generating distribution ℋ{\mathcal{ {\mathcal H} }} and an asymmetric left-invariant norm ∣⋅∣K{| \cdot | }_{K} induced by a convex body K⊆RkK\subseteq {{\mathbb{R}}}^{k} containing 0 in its interior.
Pozuelo Julián
doaj +1 more source
A Plancherel Formula for Idyllic Nilpotent Lie Groups [PDF]
Transactions of the American Mathematical Society, 1976 A procedure is developed which can be used to compute the Plancherel measure for a certain class of nilpotent Lie groups, including the Heisenberg groups, free groups, two-and three-step groups, the nilpotent part of an Iwasawa decomposition of the R-split form of the classical simple groups
openaire +1 more source
Algebraic Anosov actions of nilpotent Lie groups
Topology and its Applications, 2013 In this paper we classify algebraic Anosov actions of nilpotent Lie groups on closed manifolds, extending the previous results by P. Tomter. We show that they are all nil-suspensions over either suspensions of Anosov actions of Z^k on nilmanifolds, or (modified) Weyl chamber actions. We check the validity of the generalized Verjovsky conjecture in this
Barbot, Thierry, Maquera, Carlos
openaire +2 more sources
Solvability and Nilpotency of Lie Algebras in Cryptography and Steganography
MathematicsThis paper investigates the role of solvable and nilpotent Lie algebras in the domains of cryptography and steganography, emphasizing their potential in enhancing security protocols and covert communication methods.
Amor Hasić +3 more
doaj +1 more source
Controllability of systems of a nilpotent Lie group
, 1985 Sei W eine Teilmenge der Liealgebra L(G) einer zusammenhängenden Liegruppe G und sei S die durch Ext \({\mathbb{R}}^+W\) in G erzeugte Halbgruppe. Dann heißt das Paar (S,W) das durch W erzeugte System of G. Ein solches System heißt kontrollierbar, wenn \(S=G\) gilt. In diesem Fall läßt sich jedes Element \(g\in G\) in der Form \[ g=Exp t_ 1X_ 1...
Lawson, J.D., Hofmann, K.H., Hilgert, J.
openaire +1 more source
Electronic Journal of Differential Equations, 2004 We consider the Green functions for second-order left-invariant differential operators on homogeneous manifolds of negative curvature, being a semi-direct product of a nilpotent Lie group $N$ and $A=mathbb{R}^+$. We obtain estimates for mixed derivatives
Roman Urban
doaj
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
Horizontally Affine Functions on Step-2 Carnot Algebras. [PDF]
J Geom Anal, 2023 Le Donne E, Morbidelli D, Rigot S.
europepmc +1 more source
On sufficient density conditions for lattice orbits of relative discrete series. [PDF]
Arch Math, 2022 Enstad U, van Velthoven JT.
europepmc +1 more source