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Differential Structures of Frölicher Spaces on Tangent Curves. / Бурьян, Сергей Николаевич.

In: Journal of Mathematical Sciences, Vol. 251, 2020, p. 453-461.

Research output: Contribution to journal › Article › peer-review

Harvard

Бурьян, СН 2020, 'Differential Structures of Frölicher Spaces on Tangent Curves', Journal of Mathematical Sciences, vol. 251, pp. 453-461. https://doi.org/10.1007/s10958-020-05105-4

APA

Бурьян, С. Н. (2020). Differential Structures of Frölicher Spaces on Tangent Curves. Journal of Mathematical Sciences, 251, 453-461. https://doi.org/10.1007/s10958-020-05105-4

Vancouver

Бурьян СН. Differential Structures of Frölicher Spaces on Tangent Curves. Journal of Mathematical Sciences. 2020;251:453-461. https://doi.org/10.1007/s10958-020-05105-4

Author

Бурьян, Сергей Николаевич. / Differential Structures of Frölicher Spaces on Tangent Curves. In: Journal of Mathematical Sciences. 2020 ; Vol. 251. pp. 453-461.

BibTeX

@article{969174abbbbb47b385082ff350eced55,
title = "Differential Structures of Fr{\"o}licher Spaces on Tangent Curves",
abstract = "Differential-geometric structures of Fr{\"o}licher spaces for a singular manifold consisting of two tangent curves are considered. Calculations for two types of structures lead either to the ∞-flatness of all curves passing from one branch to another at a singular point or to the ∞-flatness of functions. In the second case, smooth curves can change their branch of motion, their velocity vector vanishes at the singular point.",
author = "Бурьян, {Сергей Николаевич}",
year = "2020",
doi = "10.1007/s10958-020-05105-4",
language = "English",
volume = "251",
pages = "453--461",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",

}

RIS

TY - JOUR

T1 - Differential Structures of Frölicher Spaces on Tangent Curves

AU - Бурьян, Сергей Николаевич

PY - 2020

Y1 - 2020

N2 - Differential-geometric structures of Frölicher spaces for a singular manifold consisting of two tangent curves are considered. Calculations for two types of structures lead either to the ∞-flatness of all curves passing from one branch to another at a singular point or to the ∞-flatness of functions. In the second case, smooth curves can change their branch of motion, their velocity vector vanishes at the singular point.

AB - Differential-geometric structures of Frölicher spaces for a singular manifold consisting of two tangent curves are considered. Calculations for two types of structures lead either to the ∞-flatness of all curves passing from one branch to another at a singular point or to the ∞-flatness of functions. In the second case, smooth curves can change their branch of motion, their velocity vector vanishes at the singular point.

U2 - 10.1007/s10958-020-05105-4

DO - 10.1007/s10958-020-05105-4

M3 - Article

VL - 251

SP - 453

EP - 461

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

ER -

ID: 74175668