an:05314039
Zbl 1148.53011
Sarkisyan, R. A.; Shandra, I. G.
Regularity and Tresse's theorem for geometric structures
EN
Izv. Math. 72, No. 2, 345-382 (2008); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 72, No. 2, 151-192 (2008).
00229548
2008
j
53A55 58A20
Lie pseudo-group for jet space; invariants and orbits
Tresse's theorem about the finitely based invariants of a Lie pseudo-group for the \(k\)-jet space \(J^k\) is established and the regularity of fiber points (local constancy of orbit dimensions) is proved. The paper is a continuation of [\textit{R. A. Sarkisyan}, Izv. Math. 70, No.~2, 307--362 (2006); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 70, No.~2, 99--158 (2006; Zbl 1106.53010)]. See also \textit{A. Tresse} [Acta Math. 1--88, see also (1893) Th??se pr??sent?? ?? la Facult?? des Sciences de Paris, No. 794 (1894; JFM 25.0641.01)]; \textit{A. S. Shmelev} [Funct. Anal. Appl. 31, No.~2, 119--125 (1997); translation from Funkts. Anal. Prilozh. 31, No.~2, 58--66 (1997; Zbl 0920.58003)].
Maido Rahula (Tartu)
Zbl 1106.53010; Zbl 0920.58003; JFM 25.0641.01