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Homogeneous Ultrametric Spaces
Fortsetzung von zwei vorangehenden Arbeiten über verallgemeinerte ultrametrische Räume [the authors, Generalized ultrametric spaces I, Abh. Math. Semin. Univ. Hamb. 66, 55-73 (1996); and Part II (1997)]. Es wird der Begriff des homogenen ultrametrischen Raumes eingeführt [the authors, C. R. Math. Acad. Sci., Soc. R. Can. 18, 1-16 (1996; Zbl 0853.54029)]
S. Priess-Crampe, Paulo Ribenboim
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Compact Riemannian Manifolds with Homogeneous Geodesics
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. We study the structure of compact GO-spaces and give some sufficient conditions
Dmitrii V. Alekseevsky+1 more
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Sigma-models with complex homogeneous target spaces
We review the recently proposed class of σ-models with complex homogeneous target spaces, whose equations of motion admit zero-curvature representations.
Bykov Dmitri
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Hausdorff operators on homogeneous spaces of locally compact groups
Hausdorff operators on the real line and multidimensional Euclidean spaces originated from some classical summation methods. Now it is an active research area. Hausdorff operators on general groups were defined and studied by the author since 2019.
Adolf R. Mirotin
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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
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On the Volume in Homogeneous Spaces [PDF]
Guldin-Pappus’s theorem about the volume of a solid of rotation in the euclidean space has been generalized in two ways. G. Koenigs [1] and J. Hadamard [2] proved that the volume generated by a 1-parametric motion of a surface D bounded by a closed curve c is equal to where are quantities attached to D with respect to a rectangular coordinate system ...
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Right amenable left group sets and the Tarski-FØlner theorem [PDF]
We introduce right amenability, right FØlner nets, and right paradoxical decompositions for left homogeneous spaces and prove the Tarski-FØlner theorem for left homogeneous spaces with finite stabilisers.
Simon Wacker
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On the product of homogeneous spaces
Within the class of Tikhonov spaces, and within the class of topological groups, most of the natural questions concerning ''productive closure'' of the subclasses of countably compact and pseudocompact spaces are answered by the following three well-known results: (1) [ZFC] There is a countably compact Tikhonov space X such that \(X\times X\) is not ...
Jan van Mill, W. Wistar Comfort
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Some Notes of Homogeneous Besov–Lorentz Spaces
In this paper, we consider some properties of homogeneous Besov–Lorentz spaces. First, we get some relationship between B˙p0s,q,B˙p1s,qθ,r and Besov–Lorentz spaces, and then, we obtain the scaling property of B˙p,rs,q and F˙p,rs,q.
Zhenzhen Lou
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Metric Entropy of Homogeneous Spaces
For a (compact) subset $K$ of a metric space and $\varepsilon > 0$, the {\em covering number} $N(K , \varepsilon )$ is defined as the smallest number of balls of radius $\varepsilon$ whose union covers $K$.
Szarek, Stanislaw J.
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