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Rank inequality in homogeneous Finsler geometry [PDF]
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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Liberation theory for noncommutative homogeneous spaces [PDF]
We discuss the liberation question, in the homogeneous space setting. Our first series of results concerns the axiomatization and classification of the families of compact quantum groups $G=(G_N)$ which are "uniform", in a suitable sense.
Banica, Teodor
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Minimal homogeneous submanifolds in euclidean spaces [PDF]
We prove that minimal (extrinsically) homogeneous submanifolds of the Euclidean space are totally geodesic. As an application, we obtain that a complex (intrisecally) homogeneous submanifold of a complex Euclidean space must be totally ...
Di Scala, Antonio Jose'
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Homogenisation on homogeneous spaces [PDF]
52 pages, to appear: Journal of the Mathematical Society of Japan.
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Frames and Homogeneous Spaces [PDF]
Let be a locally compact non?abelian group and be a compact subgroup of also let be a ?invariant measure on the homogeneous space . In this article, we extend the linear operator as a bounded surjective linear operator for all ?spaces with .
A. Ghaani Farashahi
doaj
Geodesic vectors of square metrics on 5- dimensional generalized symmetric spaces [PDF]
In 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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On Degenerate 3-(α, δ)-Sasakian Manifolds
We propose a new method to construct degenerate 3-(α, δ)-Sasakian manifolds as fiber products of Boothby-Wang bundles over hyperkähler manifolds. Subsequently, we study homogeneous degenerate 3-(α, δ)-Sasakian manifolds and prove that no non-trivial ...
Goertsches Oliver +2 more
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Multilinear strongly singular integral operators on non-homogeneous metric measure spaces
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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NORMAL HOMOGENEOUS FINSLER SPACES [PDF]
38 ...
Xu, Ming, Deng, Shaoqiang
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Non-reductive spaces with equiaffine connections of nonzero curvature [PDF]
The introduction of this article states the object of our investigation which is structures on homogeneous spaces. The problem of establishing links between the curvature and the structure of a manifold is one of the important problems of geometry.
Mozhey, Natal’ya Pavlovna
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