This article is cited in 1 paper

Remarks on infinitesimally desarguesian families of curves

S. G. Gindikin

Department of Mathematics, Hill Center, Rutgers University, Piscataway, USA

Abstract: 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, horocycle, horosphere, symmetric space.

UDC: 514.7

Received: 30.05.2011

DOI: 10.4213/faa3051

 English version: Functional Analysis and Its Applications, 2011, 45:4, 265–270

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