Results 31 to 40 of about 2,091,008 (324)
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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A Novel Distribution for Representation of 6D Pose Uncertainty
Micromachines, 2022 The 6D Pose estimation is a crux in many applications, such as visual perception, autonomous navigation, and spacecraft motion. For robotic grasping, the cluttered and self-occlusion scenarios bring new challenges to the this field.
Lei Zhang, Huiliang Shang, Yandan Lin
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Central extensions of groups of sections [PDF]
, 2009 If q : P -> M is a principal K-bundle over the compact manifold M, then any invariant symmetric V-valued bilinear form on the Lie algebra k of K defines a Lie algebra extension of the gauge algebra by a space of bundle-valued 1-forms modulo exact forms ...
A. Losev +31 more
core +3 more sources
On Square-Integrable Representations of A Lie Group of 4-Dimensional Standard Filiform Lie Algebra
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2020 In this paper, we study irreducible unitary representations of a real standard filiform Lie group with dimension equals 4 with respect to its basis. To find this representations we apply the orbit method introduced by Kirillov. The corresponding orbit of
Edi Kurniadi
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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
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 Parametric Surfaces with Constant Mean Curvature Along Given Smarandache Curves in Lie Group
Journal of New Theory, 2022 This paper finds sufficient conditions to determine a surface whose mean curvature along a given Smarandache curve is constant in a three-dimensional Lie group.
Sevinç Taze, Zuhal Kucukarslan Yuzbasi
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Remote Sensing, 2023 Alignment technology plays an important role in navigation, and is used extensively throughout military and civilian applications. However, the existing in-flight alignment methods cannot be applied to the low-cost based strap-down inertial navigation ...
Xiaokai Wei +6 more
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From Loop Groups to 2-Groups [PDF]
, 2005 We describe an interesting relation between Lie 2-algebras, the Kac-Moody central extensions of loop groups, and the group String(n). A Lie 2-algebra is a categorified version of a Lie algebra where the Jacobi identity holds up to a natural isomorphism ...
Baez, John C. +3 more
core +2 more sources
Pediatric Blood &Cancer, EarlyView.ABSTRACT A second allogeneic (allo‐)hematopoietic stem cell transplantation (HSCT2) is a potential curative option for pediatric patients with acute lymphoblastic leukemia (ALL) following relapse after first allogeneic transplantation (HSCT1), but its efficacy is limited by high relapse rates and transplant‐related toxicity in highly pretreated ...
Ava Momm +10 more
wiley +1 more source