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@article{IVM_2007_10_a0,
author = {M. A. Akivis and V. V. Goldberg},
title = {Differential geometry of {Veronese-like} webs},
journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
pages = {3--28},
publisher = {mathdoc},
number = {10},
year = {2007},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IVM_2007_10_a0/}
}
M. A. Akivis; V. V. Goldberg. Differential geometry of Veronese-like webs. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2007), pp. 3-28. http://geodesic.mathdoc.fr/item/IVM_2007_10_a0/
[1] Gelfand I. M., Zakharevich I., “Webs, Veronese curves, and bihamiltonian systems”, J. Funct. Anal., 99:1 (1991), 150–178 | DOI | MR | Zbl
[2] Panasyuk A., “Veronese webs for bihamiltonian structures of higher corank”, Poisson geometry, Stanislaw Zakrzewski in memoriam, Banach Cent. Publ., 51, ed. Grabowski Janusz et al., Polish Academy of Sciences, Institute of Mathematics, Warszawa, 2000, 251–261 | MR | Zbl
[3] Gelfand I. M., Zakharevich I., “Webs, Lenard schemes, and the local geometry of bi-Hamiltonian Toda and Lax structures”, Selecta Math. (N.S.), 6:2 (2000), 131–183 | DOI | MR | Zbl
[4] Turiel F.-J., “Tissus de Veronese analytiques de codimension supérieure et structures bihamiltoniennes”, C. R. Acad. Sci., Paris, Sér. I, Math., 331:1 (2000), 61–64 | MR | Zbl
[5] Zakharevich I., “Kronecker webs, bihamiltonian structures, and the method of argument translation”, Transform. Groups, 6:3 (2001), 267–300 | DOI | MR | Zbl
[6] Panasyuk A., “On integrability of generalized Veronese curves of distributions”, Rep. Math. Phys., 50:3 (2000), 291–297 | DOI | MR
[7] Bouetou B. T., Dufour J. P., “Veronese curves and webs: interpolation”, Art. ID93142, Int. J. Math. Math. Sci., 2006, 11 pp. | MR
[8] Akivis M. A., “Ob izoklinnykh tri-tkanyakh i ikh interpretatsii v lineichatom prostranstve proektivnoi svyaznosti”, Sib. matem. zhurn., 15:1 (1974), 3–15 | MR | Zbl
[9] Akivis M. A., Shelekhov A. M., Geometry and algebra of multidimensional three-webs, Translated from the Russian by V. V. Goldberg, Kluwer Academic Publishers, Dordrecht, 1992, xvii+358 pp. | MR | Zbl
[10] Akivis M. A., Goldberg V. V., “Differential geometry of webs”, Handbook of Differential Geometry, Chapter 1, Elsevier Science B. V., 2000, 1–152 | MR
[11] Goldberg V. V., “$(n+1)$-tkani mnogomernykh poverkhnostei”, DAN SSSR, 210:4 (1973), 756–759 | MR
[12] Goldberg V. V., “$(n+1)$-tkani mnogomernykh poverkhnostei”, Bulgar. Akad. Nauk Izv. Mat. Inst., 15 (1974), 405–424 | MR
[13] Goldberg V. V., Theory of multicodimensional $(n+1)$-webs, Kluwer Academic Publishers, Dordrecht, 1988, xxii + 466 pp. | MR | Zbl
[14] Akivis M. A., “O tri-tkanyakh mnogomernykh poverkhnostei”, Tr. geometrich. semin. VINITI AN SSSR, 2, 1969, 7–31 | MR | Zbl
[15] Zakharevich I., Nonlinear wave equation, nonlinear Riemann problem, and the method of argument translation, , 2000, 44 pp. E-print arXiv:math-ph/006001 | Zbl
[16] Nagy P. T., “Webs and curvature”, Web theory and related topics (Toulouse, 1996), World Sci. Publ., River Edge, NJ, 2001, 48–91 | MR | Zbl
[17] Shelekhov A. M., Pidzhakova I. M., “On three-webs with covariantly constant torsion and curvature tensors”, Webs and Quasigroups, Tver. Gos. Univ., Tver, 1999, 92–103 | MR | Zbl
[18] Akivis M. A., “Tkani i pochti grassmanovy struktury”, Sib. matem. zhurn., 23:6 (1982), 6–15 | MR | Zbl