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Commutators on Weighted Morrey Spaces on Spaces of Homogeneous Type

open access: yesAnalysis and Geometry in Metric Spaces, 2020
In this paper, we study the boundedness and compactness of the commutator of Calderón– Zygmund operators T on spaces of homogeneous type (X, d, µ) in the sense of Coifman and Weiss.
Gong Ruming   +3 more
doaj   +2 more sources

Integrators on homogeneous spaces: Isotropy choice and connections [PDF]

open access: yesFoundations of Computational Mathematics, 2016
We consider numerical integrators of ODEs on homogeneous spaces (spheres, affine spaces, hyperbolic spaces). Homogeneous spaces are equipped with a built-in symmetry. A numerical integrator respects this symmetry if it is equivariant.
Munthe-Kaas, Hans, Verdier, Olivier
core   +3 more sources

Non-formal Homogeneous Spaces [PDF]

open access: yesMathematische Zeitschrift, 2012
Several large classes of homogeneous spaces are known to be formal---in the sense of Rational Homotopy Theory. However, it seems that far fewer examples of non-formal homogeneous spaces are known.
Amann, Manuel
core   +3 more sources

Warped product Einstein metrics on homogeneous spaces and homogeneous Ricci solitons [PDF]

open access: yes, 2013
In this paper we consider connections between Ricci solitons and Einstein metrics on homogeneous spaces. We show that a semi-algebraic Ricci soliton admits an Einstein one-dimensional extension if the soliton derivation can be chosen to be normal.
He, Chenxu   +2 more
core   +3 more sources

Embeddings of Spherical Homogeneous Spaces

open access: greenActa Mathematica Sinica. English series, 2018
Jacopo Gandini
openalex   +3 more sources

Maxwell’s Equations in Homogeneous Spaces for Admissible Electromagnetic Fields [PDF]

open access: yesUniverse, 2022
Maxwell’s vacuum equations are integrated for admissible electromagnetic fields in homogeneous spaces. Admissible electromagnetic fields are those for which the space group generates an algebra of symmetry operators (integrals of motion) that is ...
V. Obukhov
semanticscholar   +1 more source

Homogeneous spaces of unsolvable Lie groups that do not admit equiaffine connections of nonzero curvature [PDF]

open access: yesИзвестия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2023
An important subclass among homogeneous spaces is formed by isotropically-faithful homogeneous spaces, in particular, this subclass contains all homogeneous spaces admitting invariant affine connection.
Mozhey, Natalya Pavlovna
doaj   +1 more source

Equivariant Filter (EqF): A General Filter Design for Systems on Homogeneous Spaces [PDF]

open access: yesIEEE Conference on Decision and Control, 2020
The kinematics of many mechanical systems encountered in robotics and other fields, such as single-bearing attitude estimation and SLAM, are naturally posed on homogeneous spaces: That is, their state lies in a smooth manifold equipped with a transitive ...
Pieter van Goor, T. Hamel, R. Mahony
semanticscholar   +1 more source

Non-Commutative Integration of the Dirac Equation in Homogeneous Spaces [PDF]

open access: yesSymmetry, 2020
We develop a non-commutative integration method for the Dirac equation in homogeneous spaces. The Dirac equation with an invariant metric is shown to be equivalent to a system of equations on a Lie group of transformations of a homogeneous space.
A. Breev, A. Shapovalov
semanticscholar   +1 more source

TEMPERED HOMOGENEOUS SPACES IV

open access: yesJournal of the Institute of Mathematics of Jussieu, 2022
AbstractLet G be a complex semisimple Lie group and H a complex closed connected subgroup. Let and be their Lie algebras. We prove that the regular representation of G in $L^2(G/H)$ is tempered if and only if the orthogonal of in contains regular elements by showing simultaneously the equivalence to other striking conditions, such as has a ...
Yves Benoist, Toshiyuki Kobayashi
openaire   +6 more sources

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