Symplectic Manifold
A pair 
, where 
is a Manifold and 
is a Symplectic Form on . The Phase Space 
is a symplectic manifold. Near every point on a symplecticmanifold, it is possible to find a set of local ``Darboux coordinates'' in which the Symplectic Form has the simple form
(Sjamaar 1996), where
is a Wedge Product.See also Manifold, Symplectic Diffeomorphism, Symplectic Form
References
Sjamaar, R. ``Symplectic Reduction and Riemann-Roch Formulas for Multiplicities.'' Bull. Amer. Math. Soc. 33, 327-338, 1996.
- Character Table
- Charlier's Check
- Chasles-Cayley-Brill Formula
- Chasles's Contact Theorem
- Chasles's Polars Theorem
- Chasles's Theorem
- Chebyshev Approximation Formula
- Chebyshev Constants
- Chebyshev Deviation
- Chebyshev Differential Equation
- Chebyshev Function
- Chebyshev-Gauss Quadrature
- Chebyshev Inequality
- Chebyshev Integral
- Chebyshev Integral Inequality
- Chebyshev Phenomenon
- Chebyshev Polynomial of the First Kind
- Chebyshev Polynomial of the Second Kind
- Chebyshev Quadrature
- Chebyshev-Radau Quadrature
- Chebyshev's Theorem
- Chebyshev Sum Inequality
- Chebyshev-Sylvester Constant
- Checkerboard
- Checker-Jumping Problem