On Null Lagrangians
AbstractWe consider Lagrangians for parametric variational problems defined on velocity manifolds and show that a Lagrangian is null precisely when its shadow, a family of vector forms, is closed. We also show that a null Lagrangian can be recovered (to within a constant) from its shadow, and therefore that such a Lagrangian is (again to within a constant) a sum of determinants of total derivatives.
1998 ◽
Vol 35
(4)
◽
pp. 1416-1438
◽
Keyword(s):
2013 ◽
Vol 11
(02)
◽
pp. 1350017
◽
2014 ◽
Vol 82
(1)
◽
pp. 81-98
◽
Keyword(s):
2009 ◽
Vol 42
(1)
◽
pp. 52-61
◽
2011 ◽
Vol 22
(1)
◽
pp. 1-38
◽
Keyword(s):
2013 ◽
Vol 99
(4)
◽
pp. 419-435
◽