examples of Lagrangian submanifolds

1.
Suppose $M$ is a manifold^{}, and $f:M\to \mathbb{R}$ is a smooth function. Then
$$\{(df)(x)\in {T}_{x}^{\ast}(M):x\in M\}$$ is a Lagrangian submanifold of the cotangent bundle^{} ${T}^{\ast}M$ when this is equipped with the canonical symplectic structure.
Title  examples of Lagrangian submanifolds 

Canonical name  ExamplesOfLagrangianSubmanifolds 
Date of creation  20130322 15:18:02 
Last modified on  20130322 15:18:02 
Owner  matte (1858) 
Last modified by  matte (1858) 
Numerical id  6 
Author  matte (1858) 
Entry type  Example 
Classification  msc 53D05 