Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

Symmetric Divergence-free tensors in the calculus of variations

Abstract : Divergence-free symmetric tensors seem ubiquitous in Mathematical Physics. We show that this structure occurs in models that are described by the so-called ``second'' variational principle, where the argument of the Lagrangian is a closed differential form. Divergence-free tensors are nothing but the second form of the Euler--Lagrange equations. The symmetry is associated with the invariance of the Lagrangian density upon the action of some orthogonal group.
Complete list of metadata

https://hal-ens-lyon.archives-ouvertes.fr/ensl-03333651
Contributor : Denis Serre <>
Submitted on : Monday, September 6, 2021 - 3:49:21 PM
Last modification on : Wednesday, September 8, 2021 - 3:24:30 AM

Files

Variations2.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : ensl-03333651, version 2
  • ARXIV : 2109.01448

Collections

Citation

Denis Serre. Symmetric Divergence-free tensors in the calculus of variations. 2021. ⟨ensl-03333651v2⟩

Share

Metrics

Record views

6

Files downloads

5