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On Lagrangian and Hamiltonian systems with homogeneous trajectories [PDF]
, 2010 Motivated by various results on homogeneous geodesics of Riemannian spaces, we study homogeneous trajectories, i.e. trajectories which are orbits of a one-parameter symmetry group, of Lagrangian and Hamiltonian systems. We present criteria under which an
Toth, Gabor Zsolt
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Homogenisation on homogeneous spaces [PDF]
Journal of the Mathematical Society of Japan, 2018 52 pages, to appear: Journal of the Mathematical Society of Japan.
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Character on a homogeneous space [PDF]
Proceedings - Mathematical Sciences, 2021 15 pages, comments and suggestions are ...
A J Parameswaran, K Amith Shastri
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Multilinear strongly singular integral operators on non-homogeneous metric measure spaces
Journal of Inequalities and Applications, 2022 Let ( X , d , μ ) $(X,d,\mu )$ be a non-homogeneous metric measure space satisfying the geometrically and upper doubling measure conditions. In this paper, the boundedness in Lebesgue spaces for multilinear strongly singular integral operators on non ...
Hailian Wang, Rulong Xie
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Rank inequality in homogeneous Finsler geometry [PDF]
AUT Journal of Mathematics and Computing, 2021 This is a survey on some recent progress in homogeneous Finsler geometry. Three topics are discussed, the classification of positively curved homogeneous Finsler spaces, the geometric and topological properties of homogeneous Finsler spaces satisfying $K\
Ming Xu
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Curves in Homogeneous Spaces [PDF]
Canadian Journal of Mathematics, 1977 Let be a Lie group with connected Lie subgroup , and let M(t), N(i) be real analytic curves in , the Lie algebra of , with .
Ronald M. Hirschorn
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Symplectic Homogeneous Spaces [PDF]
Transactions of the American Mathematical Society, 1974 It is proved in this paper that for a given simply connected Lie group G with Lie algebra g \mathfrak {g} , every left-invariant closed 2-form induces a symplectic homogeneous space. This fact generalizes the results in [7] and [12] that if H 1 (
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Geodesic vectors of square metrics on 5- dimensional generalized symmetric spaces [PDF]
ریاضی و جامعهIn this paper, we consider the $(\alpha, \beta)$-metric $F=\frac{(\alpha + \beta)^2}{\alpha}$ along with the function $\phi$ with the definition of $\phi(s)=1+2s+s^2$, which is known as a square metric, on 5-dimensional generalized symmetric spaces. Then
Dariush Latifi, Milad Zeinali
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Commutators on Weighted Morrey Spaces on Spaces of Homogeneous Type
Analysis 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
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On the Vector in Homogeneous Spaces [PDF]
Nagoya Mathematical Journal, 1953 The main purpose of this paper is to investigate the parallelism of vectors in homogeneous spaces. The definition of a vector and the condition for spaces under which a covariant differential of a vector is also a vector were given by E. Cartan [4] in a very intuitive way. Here I formulate this in a stricter way by his method of moving frame. Even if a
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