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Marcos Salvai

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Articles by Marcos Salvai

Mathematics > Differential Geometry

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By Mauricio Serfatty Godoy, Marcos Salvai
| arXiv
The oscillator groups are four-dimensional solvable Lie groups, extensions of the Heisenberg Lie group. We present them as circle bundles of the standard contact sub-Riemannian structure on $\mathbb{R}^{3}$. We define sub-Riemannian and sub-Lorentzian structures on them, describe their geodesics explicitly and determine which of them are periodic.
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[2503.06865] Outer billiards in the complex hyperbolic plane

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By Marcos Salvai
| arXiv
arXiv:2503.06865 (math) View PDF HTML (experimental) Subjects: Dynamical Systems (math.DS); Differential Geometry (math.DG) MSC classes: 32Q15, 37C83, 53C22, 53C35, 53D22 Cite as: arXiv:2503.06865 [math.DS] (or arXiv:2503.06865v1 [math.DS] for this version) https://doi.org/10.48550/arXiv.2503.06865 Submission history From: Marcos Salvai [ view email] [v1] Mon, 10 Mar 2025 02:43:41 UTC (15 KB) Bibliographic Tools Bibliographic Explorer Toggle Bibliographic Explorer () Connected Papers Toggle...
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Tangent ray foliations and their associated outer billiards

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By Michael Harrison, Marcos Salvai, Yamile Godoy
| Dialnet - Universidad de La Rioja
Yamile Godoy [1] ; Michael Harrison [2] ; Marcos Salvai [3] [1] AMAF (Universidad Nacional de Córdoba) and CIEM (Conicet), Córdoba, Argentina [2] Institute for Advanced Study, Princeton, USA [3] FAMAF (Universidad Nacional de Córdoba) and CIEM (Conicet), Córdoba, Argentina Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 39, Nº 6, 2023, págs.
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Harmonic unit normal sections of Grassmannians associated with cross products

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By Francisco Ferraris, Ruth Paola Moas, Marcos Salvai, Ruth Paola
| Dialnet - Universidad de La Rioja
IdiomacatalàDeutschEnglishespañoleuskarafrançaisgalegoitalianoportuguêsromână
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