Remarks on infinitesimally desarguesian families of curves
Funkcionalʹnyj analiz i ego priloženiâ, Tome 45 (2011) no. 4, pp. 32-39
Cet article a éte moissonné depuis la source Math-Net.Ru
Infinitesimally Desarguesian two-parameter families of curves in the plane which are in a sense close to the family of straight lines are discussed. Their properties, examples, and multidimensional generalizations are considered.
Keywords:
local projective structure, rational curve, infinitesimally Desarguesian family, horosphere, symmetric space.
Mots-clés : horocycle
Mots-clés : horocycle
@article{FAA_2011_45_4_a2,
author = {S. G. Gindikin},
title = {Remarks on infinitesimally desarguesian families of curves},
journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
pages = {32--39},
year = {2011},
volume = {45},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FAA_2011_45_4_a2/}
}
S. G. Gindikin. Remarks on infinitesimally desarguesian families of curves. Funkcionalʹnyj analiz i ego priloženiâ, Tome 45 (2011) no. 4, pp. 32-39. http://geodesic.mathdoc.fr/item/FAA_2011_45_4_a2/
[1] V. I. Arnold, Dopolnitelnye glavy teorii obyknovennykh differentsialnykh uravnenii, Nauka, M., 1978 | MR
[2] I. M. Gelfand, S. G. Gindikin, Z. Ya. Shapiro, “Lokalnaya zadacha integralnoi geometrii v prostranstve krivykh”, Funkts. analiz i ego pril., 13:2 (1979), 11–31 | MR | Zbl
[3] J. Bernstein, S. Gindikin, “Notes on integral geometry for manifolds of curves”, Amer. Math. Soc. Transl., 210 (2003), 57–80 | MR | Zbl
[4] S. G. Gindikin, “Reduktsii mnogoobrazii ratsionalnykh krivykh i svyazannye zadachi teorii differentsialnykh uravnenii”, Funkts. analiz i ego pril., 18:4 (1984), 14–39 | MR | Zbl