Results 21 to 30 of about 2,128,372 (188)

Ricci ϕ-invariance on almost cosymplectic three-manifolds

Open Mathematics, 2023
Let M3{M}^{3} be a strictly almost cosymplectic three-manifold whose Ricci operator is weakly ϕ\phi -invariant. In this article, it is proved that Ricci curvatures of M3{M}^{3} are invariant along the Reeb flow if and only if M3{M}^{3} is locally ...
Pan Quanxiang
doaj   +1 more source

Model Formulation Over Lie Groups and Numerical Methods to Simulate the Motion of Gyrostats and Quadrotors

Mathematics, 2019
The present paper recalls a formulation of non-conservative system dynamics through the Lagrange−d’Alembert principle expressed through a generalized Euler−Poincaré form of the system equation on a Lie group.
Simone Fiori
doaj   +1 more source

The Method of Insulator Defect Recognition Based on Group Theory

IEEE Access, 2021
The auto insulator defect recognition method is more efficient and reliable than manual method, and it has lots of application. The paper presents an insulator recognition method, and meanwhile it attempts to explore the intrinsic characteristics among ...
Changjian Deng
doaj   +1 more source

Character groups of Hopf algebras as infinite-dimensional Lie groups [PDF]

, 2015
In this article character groups of Hopf algebras are studied from the perspective of infinite-dimensional Lie theory. For a graded and connected Hopf algebra we construct an infinite-dimensional Lie group structure on the character group with values in ...
Bogfjellmo, Geir, Dahmen, Rafael, Schmeding, Alexander   +2 more
core   +3 more sources

Generalized Lorentzian Ricci solitons on 3-dimensional Lie groups associated to the Bott Connection [PDF]

AUT Journal of Mathematics and Computing
In this paper, we investigate which one of the non-isometric left-invariant Lorentz metrics $g$ on $3$-dimensional Lie groups satisfies the generalized Ricci soliton equation $a{\rm Ric}^B [g] + \dfrac{b}{2}{\cal L}_{ X}^B g +cX^\flat\otimes X^\flat ...
Ghodratallah Fasihi Ramandi, Shahroud Azami, Vahid Pirhadi   +2 more
doaj   +1 more source

Direct limits of infinite-dimensional Lie groups compared to direct limits in related categories [PDF]

, 2006
Let G be a Lie group which is the union of an ascending sequence of Lie groups G_n (all of which may be infinite-dimensional). We study the question when G is the direct limit of the G_n's in the category of Lie groups, topological groups, smooth ...
Außenhofer, Banaszczyk, Banyaga, Bertram, Bierstedt, Bochnak, Bourbaki, Bourbaki, Dierolf, Edamatsu, Floret, Frölicher, Glöckner, Glöckner, Glöckner, Glöckner, Glöckner, Glöckner, Glöckner, Glöckner, Glöckner, Glöckner, Glöckner, Glöckner, Glöckner, Glöckner, Glöckner, Haller, Hansen, Helge Glöckner, Hewitt, Hirai, Hogbe-Nlend, Jarchow, Kamran, Kriegl, Leitenberger, Michael, Michor, Milnor, Natarajan, Natarajan, Neeb, Neeb, Neeb, Neeb, Pietsch, Pisanelli, Schaefer, Tatsuuma, Trèves, Yamasaki   +51 more
core   +5 more sources

Surjektifitas Pemetaan Eksponensial untuk Grup Lie Heisenberg yang Diperumum

Jambura Journal of Mathematics, 2023
The Heisenberg Lie Group is the most frequently used model for studying the representation theory of Lie groups. This Lie group is modular-noncompact and its Lie algebra is nilpotent.
Edi Kurniadi, Putri Giza Maharani, Alit Kartiwa   +2 more
doaj   +1 more source

The path group construction of Lie group extensions

, 2008
We present an explicit realization of abelian extensions of infinite dimensional Lie groups using abelian extensions of path groups, by generalizing Mickelsson's approach to loop groups and the approach of Losev-Moore-Nekrasov-Shatashvili to current ...
Vizman, Cornelia
core   +2 more sources

Strictification of etale stacky Lie groups

, 2010
We define stacky Lie groups to be group objects in the 2-category of differentiable stacks. We show that every connected and etale stacky Lie group is equivalent to a crossed module of the form (H,G) where H is the fundamental group of the given stacky ...
Baez, Blohmann, Chenchang Zhu, Friedlander, Giorgio Trentinaglia, MacLane, Tseng, Zhu   +7 more
core   +1 more source

The Discontinuity Group of a Locally Bounded Homomorphism of a Lie Group into a Lie Group Is Commutative [PDF]

arXiv, 2023
We prove that the discontinuity group of every locally bounded homomorphism of a Lie group into a Lie group is not only compact and connected, which is known, but is also commutative.
arxiv