Results 91 to 100 of about 8,355 (123)

Ricci structure and volume growth for left invariant Riemannian metrics on nilpotent and some solvable Lie groups

Geometriae Dedicata, 1993
The paper presents the details of results announced earlier [C. R. Acad. Sci., Paris, Sér. I 314, No. 7, 551-556 (1992; Zbl 0748.53023)]. A computational approach is used to manipulate the curvature tensors, and to construct perturbations which preserve the Ricci curvature but not the Lie group structure.
R. Karidi
openaire   +2 more sources

HYPERCOMPLEX STRUCTURES ON SPECIAL CLASSES OF NILPOTENT AND SOLVABLE LIE GROUPS

Quaternionic Structures in Mathematics and Physics, 2001
M. L. Barberis
openaire   +2 more sources

Foliations Formed by Generic Coadjoint Orbits of a Class of Real Seven-Dimensional Solvable Lie Groups

Journal of Geometry and Symmetry in Physics, 2021
In this paper, we consider exponential, connected and simply connected Lie groups which are corresponding to seven-dimensional Lie algebras such that their nilradical is a five-dimensional nilpotent Lie algebra $\mathfrak{g}_{5,2}$ given in Table~\ref ...
Tu T. C. Nguyen, V. Le
semanticscholar   +1 more source

Solvability of Transversally Elliptic Differential Operators on Nilpotent Lie Groups

American Journal of Mathematics, 1986
Sei G eine homogene Gruppe, sei \({\mathfrak g}\) die Liealgebra von G und sei \(L=\sum^{m}_{j=1}L_ j\) ein linksinvarianter Differentialoperator auf G, wobei die Operatoren \(L_ j\) homogen vom Grade j sind. Kriterien für die lokale Auflösbarkeit homogener Operatoren \(L=L_ m\) wurden in der Literatur mehrfach angegeben (siehe z.B.
Corwin, Lawrence, Rothschild, Linda Preiss   +1 more
openaire   +2 more sources

A Beurling Theorem for Exponential Solvable Lie Groups

Journal of Lie theory, 2015
. We prove in this paper an L 2 − version of Beurling’s theorem for an arbitrary exponential solvable Lie group G with a non-trivial center, which encompasses the setting of nilpotent connected and simply connected Lie groups. When G has a trivial center,
A. Alghamdi, A. Baklouti, D. M¨uller
semanticscholar   +1 more source

Harmonic Analysis on Inhomogeneous Nilpotent Lie Groups

Journal of Lie theory
. Let G be a semi-direct product of a normal, vector subgroup by a connected, simply connected nilpotent Lie group. A detailed study of the coadjoint orbits of G in the dual space g ∗ of its Lie algebra g is motivated by classical harmonic analysis on ...
D. Arnal, B. Currey
semanticscholar   +1 more source

Hermitian structures on cotangent bundles of four dimensional solvable Lie groups

, 2006
We study hermitian structures, with respect to the standard neutral metric on the cotangent bundle T G of a 2n-dimensional Lie group G, which are left invariant with respect to the Lie group structure on T G induced by the coadjoint action.
L. C. D. Andr'es, M. L. Barberis, I. Dotti, M. Fern'andez   +3 more
semanticscholar   +1 more source

The Stability of Linear Control Systems on Low-Dimensional Lie Groups

Symmetry
This work investigates the stability analysis of linear control systems defined on Lie groups, with a particular focus on low-dimensional cases. Unlike their Euclidean counterparts, such systems evolve on manifolds with non-Euclidean geometry, where ...
Víctor Ayala, William Eduardo Valdivia Hanco, Jhon Eddy Pariapaza Mamani, María Luisa Torreblanca Todco   +3 more
semanticscholar   +1 more source

Existence and Uniqueness of Control Sets with a Nonempty Interior for Linear Control Systems on Solvable Groups

Bulletin of the Brazilian Mathematical Society, New Series
In this paper, we establish weak conditions for the existence of a control set with nonempty interior for a linear control system on a solvable Lie group. We show that the Lie algebra rank condition, together with the compactness of the nilpotent part of
A. Da Silva
semanticscholar   +1 more source

Controllability of Linear Systems on Low Dimensional Nilpotent and Solvable Lie Groups

, 2016
Mouhamadou Dath, Philippe Jouan
semanticscholar   +1 more source