Premium
On Natural First order Lagrangians
Author(s) -
Konderak Jerzy J.
Publication year - 1991
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/23.2.169
Subject(s) - mathematics , bijection , lagrangian , invariant (physics) , pure mathematics , order (exchange) , natural (archaeology) , first order , mathematical analysis , mathematical physics , combinatorics , archaeology , finance , economics , history
The natural first order Lagrangian is a function defined on pairs of Riemannian manifolds and which is invariant with respect to immersions and depends continuously on 1‐jets of metrics. We prove that there is a canonical bijection between natural first order Lagrangians and functions which are smooth, symmetric and even.