Martínez, Eduardo Variational calculus on Lie algebroids. (English) Zbl 1135.49027 ESAIM, Control Optim. Calc. Var. 14, No. 2, 356-380 (2008). MSC: 49S05 49K15 58D15 70H25 17B66 22A22 PDFBibTeX XMLCite \textit{E. Martínez}, ESAIM, Control Optim. Calc. Var. 14, No. 2, 356--380 (2008; Zbl 1135.49027) Full Text: DOI arXiv EuDML
Castrillón López, M.; Muñoz Masqué, J.; Ratiu, T. Gauge invariance and variational trivial problems on the bundle of connections. (English) Zbl 1067.58013 Differ. Geom. Appl. 19, No. 2, 127-145 (2003). MSC: 58E30 17B66 22E65 53C07 81R10 PDFBibTeX XMLCite \textit{M. Castrillón López} et al., Differ. Geom. Appl. 19, No. 2, 127--145 (2003; Zbl 1067.58013) Full Text: DOI
Robart, Thierry On the integrability of infinite dimensional Lie subalgebras. (Sur l’intégrabilité des sous-algèbres de Lie en dimension infinie.) (French) Zbl 0888.22016 Can. J. Math. 49, No. 4, 820-839 (1997). Reviewer: J.Grabowski (Warszawa) MSC: 22E65 58H05 17B65 PDFBibTeX XMLCite \textit{T. Robart}, Can. J. Math. 49, No. 4, 820--839 (1997; Zbl 0888.22016) Full Text: DOI
Yur’ev, D. V. Quantum projective field theory: Quantum-field analogs of the Euler- Arnol’d equations in projective \(G\) multiplets. (English. Russian original) Zbl 0827.58068 Theor. Math. Phys. 98, No. 2, 147-161 (1994); translation from Teor. Mat. Fiz. 98, No. 2, 220-240 (1994). Reviewer: C.S.Sharma (London) MSC: 58Z05 81T40 81R10 17B81 PDFBibTeX XMLCite \textit{D. V. Yur'ev}, Theor. Math. Phys. 98, No. 2, 1 (1994; Zbl 0827.58068); translation from Teor. Mat. Fiz. 98, No. 2, 220--240 (1994) Full Text: DOI
Chakravarty, Sarbarish; Kent, Steven; Newman, Ezra T. Diffeomorphism algebras and the Nahm and Ward equations. (English) Zbl 0744.58074 J. Math. Phys. 33, No. 1, 382-387 (1992). MSC: 58J90 35Q53 35Q55 17B65 81R10 81T13 PDFBibTeX XMLCite \textit{S. Chakravarty} et al., J. Math. Phys. 33, No. 1, 382--387 (1992; Zbl 0744.58074) Full Text: DOI
Mikityuk, I. V. Integrability of Euler equations connected with filtrations of semisimple Lie algebras. (Russian) Zbl 0578.58013 Mat. Sb., N. Ser. 125(167), No. 4(12), 539-546 (1984). Reviewer: J.J.Telega MSC: 58E99 17B20 PDFBibTeX XMLCite \textit{I. V. Mikityuk}, Mat. Sb., Nov. Ser. 125(167), No. 4(12), 539--546 (1984; Zbl 0578.58013) Full Text: EuDML
Mishchenko, A. S.; Fomenko, A. T. Integrability of Euler equations on semisimple Lie algebras. (English) Zbl 0517.58024 Sel. Math. Sov. 2, 207-291 (1982). MSC: 37J35 37K10 17B20 35Q05 37J99 58J99 PDFBibTeX XMLCite \textit{A. S. Mishchenko} and \textit{A. T. Fomenko}, Sel. Math. Sov. 2, 207--291 (1982; Zbl 0517.58024)
Dieudonné, Jean Éléments d’analyse. Tome IX. Chapitre XXIV. (French) Zbl 0485.58001 Cahiers Scientifiques, Fasc. XLII. Publie avec le concours du C. N. R. S. Paris: Gauthier-Villars. XVIII, 380 p. FF 320.00 (1982). MSC: 58-01 55-01 58A12 55Rxx 58A14 58A10 20G10 17B56 57Q05 55N10 53C05 14F40 14H05 58J10 58J20 PDFBibTeX XML
Mishchenko, A. S.; Fomenko, A. T. The integrability of the Euler equations on semi-simple Lie algebras. (Russian) Zbl 0452.58015 Tr. Semin. Vektorn. Tenzorn. Anal. Prilozh. Geom. Mekh. Fiz. 19, 3-94 (1979). MSC: 37J35 37K10 37J99 58J99 17B20 35Q05 PDFBibTeX XMLCite \textit{A. S. Mishchenko} and \textit{A. T. Fomenko}, Tr. Semin. Vektorn. Tenzorn. Anal. 19, 3--94 (1979; Zbl 0452.58015)
Gel’fand, I. M.; Manin, Yu. I.; Shubin, M. A. Poisson brackets and the kernel of the variational derivative in the formal calculus of variations. (English) Zbl 0534.58024 Funct. Anal. Appl. 10 (1976), 274-278 (1977). MSC: 58E99 17B99 49J99 PDFBibTeX XML
Gel’fand, I. M.; Manin, Yu. I.; Shubin, M. A. Poissonklammern und der Kern einer Variationsableitung in der formalen Variationsrechnung. (Russian) Zbl 0395.58005 Funkts. Anal. Prilozh. 10, No. 4, 30-34 (1976). MSC: 58E99 17B99 49J99 PDFBibTeX XMLCite \textit{I. M. Gel'fand} et al., Funkts. Anal. Prilozh. 10, No. 4, 30--34 (1976; Zbl 0395.58005)