Results 41 to 50 of about 989 (170)
Symplectification of rank 2 distributions, normal Cartan connections, and Cartan prolongations
Annales mathématiques du QuébecWe study the Doubrov--Zelenko symplectification procedure for rank $2$ distributions with $5$-dimensional cube -- originally motivated by optimal control theory -- through the lens of Tanaka--Morimoto theory for normal Cartan connections. In this way, for ambient manifolds of dimension $ n \geq 5 $, we prove the existence of the normal Cartan ...
Day, Nicklas +2 more
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Advanced Science, Volume 13, Issue 15, 13 March 2026.Recent advances in materials and device engineering enable continuous, real‐time monitoring of muscle activity via wearable and implantable systems. This review critically summarizes emerging technologies for tracking electrophysiological, biomechanical, and oxygenation signals, outlines fundamental principles, and highlights key challenges and ...
Zhengwei Liao +4 more
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Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract In the first paper of this series, we gave infinite families of coloured partition identities which generalise Primc's and Capparelli's classical identities. In this second paper, we study the representation theoretic consequences of our combinatorial results.
Jehanne Dousse, Isaac Konan
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A Cartan-theoretic classification of multiply-transitive $(2,3,5)$-distributions
, 2022 In his 1910 paper, \'Elie Cartan gave a tour-de-force solution to the (local) equivalence problem for generic rank 2 distributions on 5-manifolds, i.e. $(2,3,5)$-distributions. From a modern perspective, these structures admit equivalent descriptions as (
The, Dennis
core
On the Euler characteristic of S$S$‐arithmetic groups
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract We show that the sign of the Euler characteristic of an S$S$‐arithmetic subgroup of a simple algebraic group depends on the S$S$‐congruence completion only, except possibly in type 6D4${}^6 D_4$. Consequently, the sign is a profinite invariant for such S$S$‐arithmetic groups with the congruence subgroup property. This generalizes previous work
Holger Kammeyer, Giada Serafini
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Toral symmetries of collapsed ancient solutions to the homogeneous Ricci flow
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract Collapsed ancient solutions to the homogeneous Ricci flow on compact manifolds occur only on the total space of principal torus bundles. Under an algebraic assumption that guarantees flowing through diagonal metrics and a tameness assumption on the collapsing directions, we prove that such solutions have additional symmetries, that is, they ...
Anusha M. Krishnan +2 more
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Robustness of predicted CMB fluctuations in Cartan $F(R)$ gravity
, 2023 The cosmology of the $F(R)$ gravity rebuilding by the Cartan formalism is investigated. This is called Cartan $F(R)$ gravity. The well-known $F(R)$ gravity has been introduced to extend the standard cosmology, e.g. to explain the cosmological accelerated
Inagaki, Tomohiro +2 more
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The existence of Cartan connections and geometrizable principle bundles [PDF]
Archiv der Mathematik, 2004 6 pages, corrected the principal typo :)
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Entropy rigidity for cusped Hitchin representations
Journal of Topology, Volume 19, Issue 1, March 2026.Abstract We establish an entropy rigidity theorem for Hitchin representations of geometrically finite Fuchsian groups which generalizes a theorem of Potrie and Sambarino for Hitchin representations of closed surface groups. In the process, we introduce the class of (1,1,2)‐hypertransverse groups and show for such a group that the Hausdorff dimension of
Richard Canary +2 more
wiley +1 more source