Existence and uniqueness for Legendre curves

Article Properties
Cite
Fukunaga, Tomonori, and Masatomo Takahashi. “Existence and Uniqueness for Legendre Curves”. Journal of Geometry, vol. 104, no. 2, 2013, pp. 297-0, https://doi.org/10.1007/s00022-013-0162-6.
Fukunaga, T., & Takahashi, M. (2013). Existence and uniqueness for Legendre curves. Journal of Geometry, 104(2), 297-307. https://doi.org/10.1007/s00022-013-0162-6
Fukunaga, Tomonori, and Masatomo Takahashi. “Existence and Uniqueness for Legendre Curves”. Journal of Geometry 104, no. 2 (2013): 297-307. https://doi.org/10.1007/s00022-013-0162-6.
Fukunaga T, Takahashi M. Existence and uniqueness for Legendre curves. Journal of Geometry. 2013;104(2):297-30.
Refrences
Title Journal Journal Categories Citations Publication Date
The geometry of fronts Annals of Mathematics
  • Science: Mathematics
95 2009
Classifying singular Legendre curves by contactomorphisms Journal of Geometry and Physics
  • Science: Mathematics
  • Science: Mathematics
3 2004
10.1017/CBO9781139172615 1992
10.1017/CBO9781139173377 2001
Sasai T.: Geometry of analytic space curves with singularities and regular singularities of differential equations. Funkcial. Ekvac. 30, 283–303 (1987) 1987
Citations
Title Journal Journal Categories Citations Publication Date
Envelopes created by circle families in the plane

Journal of Geometry
  • Science: Mathematics
2024
Duality and geometry of horocyclic evolutes in hyperbolic plane Research in the Mathematical Sciences
  • Science: Mathematics
2024
On (contra)pedals and (anti)orthotomics of frontals in de Sitter 2‐space

Mathematical Methods in the Applied Sciences
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
14 2023
Pedal and Contrapedal Curves of Framed Immersions in the Euclidean 3-Space Mediterranean Journal of Mathematics
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
1 2023
$$\ell $$-convex Legendre curves and geometric inequalities

Calculus of Variations and Partial Differential Equations
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
2023
Citations Analysis
The category Science: Mathematics 34 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Involutes of fronts in the Euclidean plane and was published in 2015. The most recent citation comes from a 2024 study titled Duality and geometry of horocyclic evolutes in hyperbolic plane. This article reached its peak citation in 2021, with 11 citations. It has been cited in 29 different journals, 6% of which are open access. Among related journals, the Mathematical Methods in the Applied Sciences cited this research the most, with 6 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year