Geodesic
The total divergence equation
Lobachevskii journal of mathematics, Tome 23 (2006), pp. 71-93

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In this paper, the total divergence equation is investigated by means of the methods used in the theory of finite order variational sequences. Integrability conditions for this equation are found, and all solutions are described. The correspondence of the solutions with some differential forms on jet spaces is established.
Keywords: differential equation, integrability, variational sequence
Mots-clés : jet, divergence, Euler–Lagrange expression. 
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     author = {D. Krupka},
     title = {The total divergence equation},
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     year = {2006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/LJM_2006_23_a3/}
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D. Krupka. The total divergence equation. Lobachevskii journal of mathematics, Tome 23 (2006), pp. 71-93. http://geodesic.mathdoc.fr/item/LJM_2006_23_a3/