Results 31 to 40 of about 13,564,364 (338)
Transformation Groups, 2018 In this paper we study the Lie theoretic properties of a class of topological groups which carry a Banach manifold structure but whose multiplication is not smooth. If $G$ and $N$ are Banach-Lie groups and $ : G \to \mathrm{Aut}(N)$ is a homomorphism defining a continuous action of $G$ on $N$, then $H := N \rtimes_ G$ is a Banach manifold with a ...
Timothée Marquis, Karl-Hermann Neeb
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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
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On the Automorphism Group of a Lie Group [PDF]
Proceedings of the American Mathematical Society, 1974 It is proved that the automorphism group of a connected real or complex Lie group contains an open real or complex algebraic subgroup. It follows that the identity component of the group of complex automorphisms of a connected complex Lie group is a complex algebraic group.
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The Lie Group in Infinite Dimension
Abstract and Applied Analysis, 2011 A Lie group acting on finite-dimensional space is generated by its infinitesimal transformations and conversely, any Lie algebra of vector fields in finite dimension generates a Lie group (the first fundamental theorem).
V. Tryhuk, V. Chrastinová, O. Dlouhý
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Generalized Lorentzian Ricci solitons on 3-dimensional Lie groups associated to the Bott Connection [PDF]
AUT Journal of Mathematics and ComputingIn 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 +2 more
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, 2011 In this paper we see the evolution of a capitalized financial event e, with respect to a capitalization factor f, as the exponential map of a suitably defined Lie group G(f,e), supported by the half-space of capitalized financial events having the same capital sign of e.
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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 +2 more
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Long Time Simulation Analysis of Geometry Dynamics Model under Iteration
Applied Sciences, 2022 Geometry modeling methods can conserve the geometry characters of a system, which helps the dynamic equations more concisely and is good for long simulations. Reduced attitude, Lie group and Lie algebra are three different expressions of geometry. Models
Weiwei Sun +3 more
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Jacobi–Lie symmetry and Jacobi–Lie T-dual sigma models on group manifolds
Nuclear Physics B, 2018 Using the concept of Jacobi–Lie group and Jacobi–Lie bialgebra, we generalize the definition of Poisson–Lie symmetry to Jacobi–Lie symmetry. In this regard, we generalize the concept of Poisson–Lie T-duality to Jacobi–Lie T-duality and present Jacobi–Lie
A. Rezaei-Aghdam, M. Sephid
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Journal of Functional Analysis, 1988 Let \(G\) be a real connected Lie group, let \(X_j\), \(j=0,\ldots,n\), be left invariant vector fields on \(G\), which are generators of the Lie algebra of \(G\) (i.e. together with all their successive brackets they span the Lie algebra of \(G\)). Let also \(dg\) (\(d^r g\)) be a left (right) Haar measure on \(G\).
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