Results 41 to 50 of about 13,701,315 (355)
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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The Affine Group of a Lie Group [PDF]
Proceedings of the American Mathematical Society, 1963 1. If G is a Lie group, then the group Aut(G) of all continuous automorphisms of G has a natural Lie group structure. This gives the semidirect product A(G) = G-Aut(G) the structure of a Lie group. When G is a vector group R", A(G) is the ordinary affine group A(re). Following L. Auslander [l ] we will refer to A(G) as the affine group of G, and regard
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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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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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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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On Groups of Automorphism of Lie Groups [PDF]
Proceedings of the National Academy of Sciences, 1944 Not ...
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A cocycle model for topological and Lie group cohomology [PDF]
, 2011 We propose a unified framework in which the different constructions of cohomology groups for topological and Lie groups can all be treated on equal footings.
F. Wagemann, Christoph Wockel
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Bulletin of the American Mathematical Society, 1995 Homotopy Lie groups, recently invented by W.G. Dwyer and C.W. Wilkerson [13], represent the culmination of a long evolution. The basic philosophy behind the process was formulated almost 25 years ago by Rector [32, 33] in his vision of a homotopy theoretic incarnation of Lie group theory.
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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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