Geodesic
Differential structures of Frölicher spaces on tangent curves
Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 13, Tome 476 (2018), pp. 34-49 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider the differential-geometric structures of the Frölicher spaces for a singular manifold, which consists of two tangent curves. Calculations for two types of structures lead either to the $\infty$-flatness of the curves, which at a singular point pass from one branch to another, or to the $\infty$-flatness of functions. In the second case, smooth curves can change the branch of motion, their velocity vector at a singular point is zero. 
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     title = {Differential structures of {Fr\"olicher} spaces on tangent curves},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2018_476_a2/}
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S. N. Bur'yan. Differential structures of Frölicher spaces on tangent curves. Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 13, Tome 476 (2018), pp. 34-49. http://geodesic.mathdoc.fr/item/ZNSL_2018_476_a2/

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