Linear symplectomorphisms asR-Lagrangian subspaces
نویسندگان
چکیده
منابع مشابه
Linear Automorphisms That Are Symplectomorphisms
Let K be the field of real or complex numbers. Let (X ∼=K2n , ω) be a symplectic vector space and take 0<k<n,N =( 2n 2k ). Let L1, . . . , LN ⊂X be 2k-dimensional linear subspaces which are in a sufficiently general position. It is shown that if F :X −→X is a linear automorphism which preserves the form ωk on all subspaces L1, . . . , LN , then F is an k -symplectomorphism (that is, F ∗ω= kω, w...
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ژورنال
عنوان ژورنال: Involve, a Journal of Mathematics
سال: 2015
ISSN: 1944-4184,1944-4176
DOI: 10.2140/involve.2015.8.551