 About 1,280 results  books.google.com We will see how it works at the level of symplectic manifolds, where it is called "
reduction" and produces new symplectic manifolds from old ones. 22. The
DarbouxWeinstein theorem In this section we prove that locally all symplectic
manifolds ... 

 books.google.com The Darboux Weinstein theorems 15.1. Darboux's theorem, in the form stated in
13.3 (see also chapter I, section 17.1) is essentially local; it shows that if (M, fl) is
a symplectic manifold of dimension 2n, every point in M has a neighborhood ... 

 books.google.com The DarbouxWeinstein theorem. In this chapter we shall collect various facts
about the geometry of symplectic manifolds and of their Lagrangian submanifolds
which will be of use to us later. Recall that a symplectic manifold is a manifold X ... 

 books.google.com The use of this idea to prove the classical Darboux theorem is due to Weinstein [
1971, 1977] and independently to J. Martinet [1970]. In addition to the papers
mentioned, a general reference is the book by P. Libermann and C.M. Marle [
1987, ... 

 books.google.com Chapter 8 DarbouxMoserWeinstein Theory 8.1 Darboux Theorem Theorem 8.1.
(Darboux) Let (M, m) be a symplectic manifold, and let p be any point in M. Then
we can find a coordinate system (Z/l,xl, . . . ,x,,,yl, . . .y,,) centered at p such that ... 

 books.google.com Suppose now that u(z,w) = S$(izw). Then u(Pz,Pw) = = %(ikeiezkeiew) In
particular, o> and — w are nonisomorphic as required. 3. THE DARBOUX
WEINSTEIN THEOREM In this section we consider the equivariant analogue to
the 'locally ... 

 books.google.com discussion with the image of the corresponding class of maps so we understand
S as an oriented smooth BohrSommerfeld Lagrangian sub manifold of M. By the
DarbouxWeinstein theorem (see Weinstein [26]) there exists a tubular ... 

 books.google.com Floer then concludes that this consideration of the cotangent bundle, via the
DarbouxWeinstein theorem, implies that HF ∗(ψH1(L),L;{J t}t) is isomorphic to H
∗(L;Z 2) for the case π2 (M,L) = {e}. However we would like to point out that this
last ... 

 books.google.com H. Pedersen, J. Andersen, J. Dupont  1996  Preview Assume for simplicity that T = U(l) and that the components F of the fixed point set
are isolated points. By the equivariant version of the DarbouxWeinstein theorem
[37], we may assume the existence of Darboux coordinates (ij, j/!, . . . , xn, 2/n) ... 

 books.google.com Paolo Nistri, Gianna Stefani  2008  Preview The second property follows from the DarbouxWeinstein theorem (see [10])
which states that all Lagrange foliations are locally equivalent. More precisely,
this theorem states that any z G M possesses a neighborhood Oz and local ... 

 