The geometry of fronts

Article Properties
Cite
Saji, Kentaro, et al. “The Geometry of Fronts”. Annals of Mathematics, vol. 169, no. 2, 2009, pp. 491-29, https://doi.org/10.4007/annals.2009.169.491.
Saji, K., Umehara, M., & Yamada, K. (2009). The geometry of fronts. Annals of Mathematics, 169(2), 491-529. https://doi.org/10.4007/annals.2009.169.491
Saji, Kentaro, Masaaki Umehara, and Kotaro Yamada. “The Geometry of Fronts”. Annals of Mathematics 169, no. 2 (2009): 491-529. https://doi.org/10.4007/annals.2009.169.491.
Saji K, Umehara M, Yamada K. The geometry of fronts. Annals of Mathematics. 2009;169(2):491-529.
Citations
Title Journal Journal Categories Citations Publication Date
Singularities of Flat Dual Surfaces of Cuspidal Edges in the Three-Sphere from Duality Viewpoint Mediterranean Journal of Mathematics
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
2024
On Singularities of the Gauss Map Components of Surfaces in $${{\mathbb {R}}}^4$$

The Journal of Geometric Analysis
  • Science: Mathematics
2024
Singularity properties of Lorentzian Darboux surfaces in Lorentz–Minkowski spacetime Research in the Mathematical Sciences
  • Science: Mathematics
2 2024
Minimal Legendrian surfaces in the tangent sphere bundle of 𝕊³

Proceedings of the American Mathematical Society
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
2024
Deformations of cuspidal edges in a 3-dimensional space form Kodai Mathematical Journal
  • Science: Mathematics
2024
Citations Analysis
The category Science: Mathematics 85 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Flat fronts in hyperbolic 3-space and their caustics and was published in 2007. The most recent citation comes from a 2024 study titled Singularities of Flat Dual Surfaces of Cuspidal Edges in the Three-Sphere from Duality Viewpoint. This article reached its peak citation in 2022, with 13 citations. It has been cited in 60 different journals, 10% of which are open access. Among related journals, the The Journal of Geometric Analysis cited this research the most, with 5 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year