Standard

Logarithmic spirals on surfaces of constant Gaussian curvature. / Blacker, C.; Tsyganenko, P.

в: Involve, Том 17, № 4, 2024, стр. 689-708.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Blacker, C & Tsyganenko, P 2024, 'Logarithmic spirals on surfaces of constant Gaussian curvature', Involve, Том. 17, № 4, стр. 689-708. https://doi.org/10.2140/involve.2024.17.689

APA

Blacker, C., & Tsyganenko, P. (2024). Logarithmic spirals on surfaces of constant Gaussian curvature. Involve, 17(4), 689-708. https://doi.org/10.2140/involve.2024.17.689

Vancouver

Blacker C, Tsyganenko P. Logarithmic spirals on surfaces of constant Gaussian curvature. Involve. 2024;17(4):689-708. https://doi.org/10.2140/involve.2024.17.689

Author

Blacker, C. ; Tsyganenko, P. / Logarithmic spirals on surfaces of constant Gaussian curvature. в: Involve. 2024 ; Том 17, № 4. стр. 689-708.

BibTeX

@article{fd2ad01eab2d4c4fbb81d342805afc63,
title = "Logarithmic spirals on surfaces of constant Gaussian curvature",
abstract = "We compute the geodesic curvature of logarithmic spirals on surfaces of constant Gaussian curvature. In addition, we show that the asymptotic behavior of the geodesic curvature is independent of the curvature of the ambient surface. We also show that, at a fixed distance from the center of the spiral, the geodesic curvature is continuously differentiable as a function of the Gaussian curvature. {\textcopyright} 2024 The Authors.",
keywords = "geodesic curvature, geometry of curves and surfaces, logarithmic spirals",
author = "C. Blacker and P. Tsyganenko",
note = "Export Date: 27 October 2024",
year = "2024",
doi = "10.2140/involve.2024.17.689",
language = "Английский",
volume = "17",
pages = "689--708",
journal = "Involve",
issn = "1944-4176",
publisher = "Mathematical Sciences Publishers",
number = "4",

}

RIS

TY - JOUR

T1 - Logarithmic spirals on surfaces of constant Gaussian curvature

AU - Blacker, C.

AU - Tsyganenko, P.

N1 - Export Date: 27 October 2024

PY - 2024

Y1 - 2024

N2 - We compute the geodesic curvature of logarithmic spirals on surfaces of constant Gaussian curvature. In addition, we show that the asymptotic behavior of the geodesic curvature is independent of the curvature of the ambient surface. We also show that, at a fixed distance from the center of the spiral, the geodesic curvature is continuously differentiable as a function of the Gaussian curvature. © 2024 The Authors.

AB - We compute the geodesic curvature of logarithmic spirals on surfaces of constant Gaussian curvature. In addition, we show that the asymptotic behavior of the geodesic curvature is independent of the curvature of the ambient surface. We also show that, at a fixed distance from the center of the spiral, the geodesic curvature is continuously differentiable as a function of the Gaussian curvature. © 2024 The Authors.

KW - geodesic curvature

KW - geometry of curves and surfaces

KW - logarithmic spirals

UR - https://www.mendeley.com/catalogue/a1baded6-e447-3e3c-997c-7fede9eda98b/

U2 - 10.2140/involve.2024.17.689

DO - 10.2140/involve.2024.17.689

M3 - статья

VL - 17

SP - 689

EP - 708

JO - Involve

JF - Involve

SN - 1944-4176

IS - 4

ER -

ID: 126462667