This article is cited in 4 papers

Lagrange Intersections in a Symplectic Space

P. E. Pushkar'

Independent University of Moscow

Abstract: 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.

UDC: 514.16

Received: 01.06.1999

DOI: 10.4213/faa326

 English version: Functional Analysis and Its Applications, 2000, 34:4, 288–292

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