Relative symmetries of differential equations
Let ..delta.. : J/sup infinity/ nu ..-->.. J/sup infinity/ pi be a differential operator, where J/sup infinity/nu (resp. J/sup infinity/pi) is the infinite-jet bundle of the bundle nu : F ..-->.. M (resp. pi : E ..-->.. M). Let I/sup 1//sub nu/ be the Cartan submodule of the module lambda/sup 1/(K/sub nu) of the 1-forms over the ring K/sub nu/ = C/sup infinity/ (J/sup infinity/nu). Among all derivations of K/sub pi/ into K/sub nu/ along ..delta..*, we classify those which map I/sup 1//sub pi/ into I/sup 1//sub nu/. They turn out to be quasi-evolution equations.
- Research Organization:
- Michigan Univ., Ann Arbor (USA). Dept. of Mathematics
- DOE Contract Number:
- W-7405-ENG-36
- OSTI ID:
- 5907107
- Report Number(s):
- LA-UR-83-2045; CONF-830378-1; ON: DE83015231
- Country of Publication:
- United States
- Language:
- English
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