Volume 16, Issue 4, March 2013, Pages 443 - 454
Euler–Lagrange Equations for Functionals Defined On Fréchet Manifolds
José Antonio Vallejo
Facultad de Ciencias, Universidad Autónoma de San Luis Potosí, Lat. Av. Salvador Nava s/n CP78290, San Luis Potosí (SLP), México
Received 26 January 2009, Accepted 21 March 2009, Available Online 7 January 2021.
- https://doi.org/10.1142/S1402925109000479How to use a DOI?
- Spaces of mappings, calculus of variations, infinite-dimensional manifolds, Euler–Lagrange equations, Einstein’s equations
We prove a version of the variational Euler–Lagrange equations valid for functionals defined on Fréchet manifolds, such as the spaces of sections of differentiable vector bundles appearing in various physical theories.
- © 2009 The Authors. Published by Atlantis Press and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - José Antonio Vallejo PY - 2021 DA - 2021/01 TI - Euler–Lagrange Equations for Functionals Defined On Fréchet Manifolds JO - Journal of Nonlinear Mathematical Physics SP - 443 EP - 454 VL - 16 IS - 4 SN - 1776-0852 UR - https://doi.org/10.1142/S1402925109000479 DO - https://doi.org/10.1142/S1402925109000479 ID - Vallejo2021 ER -