Results 1 to 10 of about 6,154,040 (243)

Ricci solitons for solvable Lie groups

Современная математика: Фундаментальные направления
In this work, the existence of nontrivial (i.e., not Einstein) Ricci solitons on Riemannian three-dimensional and five-dimensional solvable Lie groups is considered and studied. Moreover, it is shown that they are not gradient Ricci solitons.
L. Belarbi
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Octonionic Triality, the Matrix Structure of ${\mathfrak{g}}_2$, and Principal Bundle Moduli Spaces

Axioms
We develop a matrix-theoretic framework for the natural embedding of the exceptional Lie algebra g2=Der(O) in so(8), use it to make constructive a recent existence result on octonionic triality, and derive geometric applications for moduli spaces of ...
Álvaro Antón-Sancho
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Homogeneous Triebel-Lizorkin Spaces on Stratified Lie Groups

Journal of Function Spaces and Applications, 2013
Homogeneous Triebel-Lizorkin spaces with full range of parameters are introduced on stratified Lie groups in terms of Littlewood-Paley-type decomposition.
Guorong Hu
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Compact Lie Groups, Generalised Euler Angles, and Applications

Universe, 2022
This is mainly a review of an intense 15-year long collaboration between the authors on explicit realisations of compact Lie groups and their applications.
Sergio Luigi Cacciatori, Antonio Scotti
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On the Structure of Lie Pseudo-Groups

Symmetry, Integrability and Geometry: Methods and Applications, 2009
We compare and contrast two approaches to the structure theory for Lie pseudo-groups, the first due to Cartan, and the second due to the first two authors.
Peter J. Olver, Juha Pohjanpelto, Francis Valiquette   +2 more
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Lie Group Methods in Blind Signal Processing

Sensors, 2020
This paper deals with the use of Lie group methods to solve optimization problems in blind signal processing (BSP), including Independent Component Analysis (ICA) and Independent Subspace Analysis (ISA). The paper presents the theoretical fundamentals of
Dariusz Mika, Jerzy Jozwik
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Abstract Lie groups and locally compact topological groups

Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2004
We introduce a notion of abstract Lie group by means of the mapping which plays the role of the evolution operator. We show some basic properties of such groups very similar to the fundamentals of the infinite dimensional Lie theory.
Jacek Lech, Tomasz Rybicki
doaj  

From homogeneous metric spaces to Lie groups

Comptes Rendus. Mathématique
We study homogeneous metric spaces, by which we mean connected, locally compact metric spaces whose isometry group acts transitively.After a review of a number of classical results, we use the Gleason–Iwasawa–Montgomery–Yamabe–Zippin structure theory to ...
Cowling, Michael G., Kivioja, Ville, Le Donne, Enrico, Nicolussi Golo, Sebastiano, Ottazzi, Alessandro   +4 more
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Linear Hamiltonian Vector Fields on Lie Groups

Mathematics
Linear vector fields on Lie groups constitute a fundamental class of dynamical systems, as their flows are one-parameter subgroups of automorphisms and their infinitesimal behavior is entirely determined by derivations of the Lie algebra.
Víctor Ayala, María Luisa Torreblanca Todco   +1 more
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Contact Semi-Riemannian Structures in CR Geometry: Some Aspects

Axioms, 2019
There is one-to-one correspondence between contact semi-Riemannian structures ( η , ξ , φ , g ) and non-degenerate almost CR structures ( H , ϑ , J ) .
Domenico Perrone
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