Funkcionalʹnyj analiz i ego priloženiâ, Tome 34 (2000) no. 4, pp. 64-70
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P. E. Pushkar'. Lagrange Intersections in a Symplectic Space. Funkcionalʹnyj analiz i ego priloženiâ, Tome 34 (2000) no. 4, pp. 64-70. http://geodesic.mathdoc.fr/item/FAA_2000_34_4_a4/
@article{FAA_2000_34_4_a4,
author = {P. E. Pushkar'},
title = {Lagrange {Intersections} in a {Symplectic} {Space}},
journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
pages = {64--70},
year = {2000},
volume = {34},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FAA_2000_34_4_a4/}
}
TY - JOUR
AU - P. E. Pushkar'
TI - Lagrange Intersections in a Symplectic Space
JO - Funkcionalʹnyj analiz i ego priloženiâ
PY - 2000
SP - 64
EP - 70
VL - 34
IS - 4
UR - http://geodesic.mathdoc.fr/item/FAA_2000_34_4_a4/
LA - ru
ID - FAA_2000_34_4_a4
ER -
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%A P. E. Pushkar'
%T Lagrange Intersections in a Symplectic Space
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 2000
%P 64-70
%V 34
%N 4
%U http://geodesic.mathdoc.fr/item/FAA_2000_34_4_a4/
%G ru
%F FAA_2000_34_4_a4
The two-dimensional torus $|z_1|=|z_2|=1$ in the symplectic space $\mathbb{C}^2$ and the image of it under a linear symplectomorphism have at least eight common points (counted according to their multiplicities). We also prove a many-dimensional version of this theorem of symplectic linear algebra.
