Sampling from manifold-restricted distributions using tangent bundle projections
Sign Up to like & getrecommendations! Published in 2020 at "Statistics and Computing"
DOI: 10.1007/s11222-019-09907-8
Abstract: A common problem in Bayesian inference is the sampling of target probability distributions at sufficient resolution and accuracy to estimate the probability density and to compute credible regions. Often by construction, many target distributions can… read more here.
Keywords: using tangent; sampling manifold; distributions using; tangent bundle ... See more keywords
Envelopes of families of Legendre mappings in the unit tangent bundle over the Euclidean space
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.12.057
Abstract: Abstract For families of hypersurfaces with singular points, a classical definition of an envelope is vague. In order to define an envelope for a family of hypersurfaces with singular points, we consider r-parameter families of… read more here.
Keywords: tangent bundle; legendre mappings; euclidean space; unit tangent ... See more keywords
Equivariant Observers for Second-Order Systems on Matrix Lie Groups
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DOI: 10.1109/tac.2022.3173926
Abstract: This article develops an equivariant symmetry for second-order kinematic systems on matrix Lie groups and uses this symmetry for observer design. The state of a second-order kinematic system on a matrix Lie group is naturally… read more here.
Keywords: matrix lie; kinematics; tangent bundle; group ... See more keywords
Tangent bundle of unit 2-sphere and slant ruled surfaces
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DOI: 10.2298/fil2302491k
Abstract: In this paper, an isomorphism between unit dual sphere, DS2, and the subset of tangent bundle of unit 2-sphere, T?M, is represented. According to E. Study mapping, a ruled surface in IR3 corresponds to each… read more here.
Keywords: slant ruled; bundle unit; tangent bundle; ruled surfaces ... See more keywords
A classification of conformal vector fields on the tangent bundle
Sign Up to like & getrecommendations! Published in 2020 at "Ukrainian Mathematical Journal"
DOI: 10.37863/umzh.v72i5.6013
Abstract: UDC 514.7 Let $(M,g)$ be a Riemannian manifold and $TM$ be its tangent bundle equipped with a Riemannian (or pseudo-Riemannian) lift metric derived from $g.$ We give a classification of infinitesimal fibre-preserving conformal transformations on the… read more here.
Keywords: classification; fields tangent; tangent bundle; classification conformal ... See more keywords
Some properties of Riemannian geometry of the tangent bundle of Lie groups
Sign Up to like & getrecommendations! Published in 2019 at "Turkish Journal of Mathematics"
DOI: 10.3906/mat-1812-94
Abstract: We consider a bi-invariant Lie group (G, g) and we equip its tangent bundle TG with the left invariant Riemannian metric introduced in the paper of Asgari and Salimi Moghaddam. We investigate Einstein-like, Ricci soliton,… read more here.
Keywords: geometry tangent; properties riemannian; lie; tangent bundle ... See more keywords
On the geometry of tangent bundle of a hypersurface in ???¹
Sign Up to like & getrecommendations! Published in 2021 at "TURKISH JOURNAL OF MATHEMATICS"
DOI: 10.3906/mat-2102-52
Abstract: In this paper, tangent bundle TM of the hypersurface M in R has been studied. For hypersurface M given by immersion f : M → R, considering the fact that F = df : TM… read more here.
Keywords: tangent bundle; geometry; geometry tangent; bundle hypersurface ... See more keywords