Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 3 (1996) no. 1, pp. 65-69
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V. I. Denisov. The metric and measure of the space of types of second order curves. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 3 (1996) no. 1, pp. 65-69. http://geodesic.mathdoc.fr/item/JMAG_1996_3_1_a5/
@article{JMAG_1996_3_1_a5,
author = {V. I. Denisov},
title = {The metric and measure of the space of types of second order curves},
journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
pages = {65--69},
year = {1996},
volume = {3},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/JMAG_1996_3_1_a5/}
}
TY - JOUR
AU - V. I. Denisov
TI - The metric and measure of the space of types of second order curves
JO - Žurnal matematičeskoj fiziki, analiza, geometrii
PY - 1996
SP - 65
EP - 69
VL - 3
IS - 1
UR - http://geodesic.mathdoc.fr/item/JMAG_1996_3_1_a5/
LA - ru
ID - JMAG_1996_3_1_a5
ER -
%0 Journal Article
%A V. I. Denisov
%T The metric and measure of the space of types of second order curves
%J Žurnal matematičeskoj fiziki, analiza, geometrii
%D 1996
%P 65-69
%V 3
%N 1
%U http://geodesic.mathdoc.fr/item/JMAG_1996_3_1_a5/
%G ru
%F JMAG_1996_3_1_a5
The author has considered the space of types of second order curves, e.g. the set of classes of triples of real numbers $(a_{11},a_{12},a_{22})\ne(0,0,0)$ generated by translations of plane and multiplications by a non-zero constant. On this set classes an invariant Riemannian metric and measure is defined. The measure of elliptic and hyperbolic curve types has been evaluated.
