Euler–Lagrange Equations for Functionals Defined On Fréchet Manifolds

DOI10.1142/S1402925109000479zbMath1193.58007arXiv1805.09993MaRDI QIDQ5306087

José A. Vallejo

Publication date: 29 March 2010

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.09993

zbMATH Keywords

Euler-Lagrange equationsEinstein's equationscalculus of variationsinfinite-dimensional manifoldsspaces of mappings

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Integration on manifolds; measures on manifolds (58C35) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Manifolds of mappings (58D15) Infinite-dimensional manifolds (46T05)

Related Items (1)

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Cites Work

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• On smooth Cauchy hypersurfaces and Geroch's splitting theorem
• The inverse function theorem of Nash and Moser
• THE RIEMANNIAN MANIFOLD OF ALL RIEMANNIAN METRICS
• Covariant spin structure

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