Results 11 to 20 of about 125,178 (224)

Second-Order-Optimal Minimum-Energy Filters on Lie Groups

open access: yesIEEE Transactions on Automatic Control, 2016
Systems on Lie groups naturally appear as models for physical systems with full symmetry. We consider the state estimation problem for such systems where both input and output measurements are corrupted by unknown disturbances.
A. Saccon   +3 more
semanticscholar   +1 more source

HARD LEFSCHETZ ACTIONS IN RIEMANNIAN GEOMETRY WITH SPECIAL HOLONOMY [PDF]

open access: yes, 2008
It is known that the hard Lefschetz action, together with K\"ahler identities for K\"ahler (resp. hyperk\"ahler) manifolds, determines a $\mathfrak{su}(1,1)_{sup}$ (resp. $\mathfrak{sp}(1,1)_{sup}$) Lie superalgebra action on differential forms.
N. Leung, Changzheng Li
semanticscholar   +1 more source

Averages and the $\ell^{q,1}$-cohomology of Heisenberg groups [PDF]

open access: yes, 2019
Averages are invariants defined on the $\ell^1$ cohomology of Lie groups. We prove that they vanish for abelian and Heisenberg groups. This result completes work by other authors and allows to show that the $\ell^1$ cohomology vanishes in these ...
Pansu, Pierre, Tripaldi, Francesca
core   +3 more sources

External Fields as Intrinsic Geometry [PDF]

open access: yes, 2000
There is an interesting dichotomy between a space-time metric considered as external field in a flat background and the same considered as an intrinsic part of the geometry of space-time.
Madore, John   +3 more
core   +2 more sources

Abelian simply transitive affine groups of symplectic type [PDF]

open access: yes, 2001
We construct a model space $C(\gsp(\bR^{2n}))$ for the variety of Abelian simply transitive groups of affine transformations of type ${\rm Sp}(\bR^{2n})$.
Baues, Oliver, Cortes, Vicente
core   +2 more sources

Compact Riemannian Manifolds with Homogeneous Geodesics [PDF]

open access: yes, 2009
A homogeneous Riemannian space $(M= G/H,g)$ is called a geodesic orbit space (shortly, GO-space) if any geodesic is an orbit of one-parameter subgroup of the isometry group $G$.
Alekseevsky, D. V., Nikonorov, Yu. G.
core   +5 more sources

Geodetikus loopok Lie elmélete = Lie theory geodesic loops [PDF]

open access: yes, 2007
A geodetikus loopok alapvető modellként szolgálnak a differenciálható loopok elméletében. Vizsgáljuk a geodetikusokkal kapcsolatos differenciálgeometriai struktúrákat, a tanulmányozott módszereket pedig alkalmaztuk a differenciálható loopok elméletében ...
Nagy, Péter Tibor
core  

Leibniz algebroids, twistings and exceptional generalized geometry

open access: yes, 2011
We investigate a class of Leibniz algebroids which are invariant under diffeomorphisms and symmetries involving collections of closed forms. Under appropriate assumptions we arrive at a classification which in particular gives a construction starting ...
Atiyah   +35 more
core   +1 more source

Heisenberg double versus deformed derivatives [PDF]

open access: yes, 2009
A common replacement of the tangent space to a noncommutative space whose coordinate algebra is the enveloping algebra of a Lie algebra is generated by the deformed derivatives, usually defined by procedures involving orderings among noncommutative ...
Zoran vSkoda
semanticscholar   +1 more source

X‐Ray Tomography Analysis of Damage Mechanisms in Metal Matrix Syntactic Foams During Compression

open access: yesAdvanced Engineering Materials, EarlyView.
In situ synchrotron X‐ray tomography is used to investigate the internal damage mechanisms of AlSi12 metal matrix syntactic foam with ceramic hollow spheres during compressive loading. It is concluded that a homogeneous distribution of the second‐phase filler material results in a sequential collapse in a localized region; this leads to controlled and ...
Indrajeet Tambe   +8 more
wiley   +1 more source

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