Questions tagged [legendre-transformation]

For questions about the Legendre transformation, an involution transform commonly used in classical mechanics and thermodynamics as well as for it's generalization, the Legendre–Fenchel Transformation.

Filter by
Sorted by
Tagged with
3
votes
1answer
68 views

Why is the Legendre transform (of vector bundles) a smooth morphism $\mathbf FL:E\to E^*$?

The Legendre transform of convex functions $\mathbb R^n\to\mathbb R^n$ can be given a nice geometric interpretation as a way to characterise a function via the set of the tangent spaces to its graph. ...