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Scalar differential invariants and characteristic classes of homogeneous geometrical structures

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Literature cited

  1. A. M. Vinogradov, “Scalar differential invariants, diffeities and characteristic classes,” in: Mechanics, Analysis and Geometry: 200 Years after Lagrange, M. Francaviglia, ed., North-Holland, Amsterdam (1991), pp. 379–414.

    Google Scholar 

  2. D. V. Alekseevskii, A. M. Vinogradov, and V. V. Lychagin, “Fundamental ideas and concepts of differential geometry,” Sovremennye Problemy Matematiki. Fundamental'nye Napravleniya,28 (VINITI, Moscow), 5–289 (1988).

    Google Scholar 

  3. A. M. Vinogradov, “TheC-spectral sequence, Lagrangian formalism, and conservation laws,” J. Math. Anal. Appl.,100, No. 3, 1129 (1984).

    Google Scholar 

  4. T. Tsujishita, “On variation bicomplexes associated to differential equations,” Osaka J. Math.,19, 311–363 (1982).

    Google Scholar 

  5. A. M. Vinogradov, I. S. Krasil'shchik, and V. V. Lychagin, Introduction to the Geometry of Nonlinear Differential Equations [in Russian], Nauka, Moscow (1986).

    Google Scholar 

  6. A. M. Vinogradov, “The geometry of nonlinear differential equations,” Problemy Geometrii,11 (VINITI, Moscow), 89–134 (1980).

    Google Scholar 

  7. A. M. Vinogradov, “The geometry of differential equations, secondary differential calculus and the quantum theory of fields,” Izv. Vyssh. Uchebn. Zaved., Mat., No. 1, 13–21 (1986).

    Google Scholar 

  8. A. M. Vinogradov, “The category of nonlinear differential equations,” in: Equations on Manifolds [in Russian], Izd. Voronezh. Gos. Univ., Voronezh (1982), pp. 26–51.

    Google Scholar 

  9. A. M. Vinogradov, “Local symmetries and conservation laws,” Acta Appl. Math.,2, No. 1, 21–78 (1984).

    Google Scholar 

  10. T. Tsujishita, “Homological method of computing invariants of systems of differential equations,” Differential Geom. Appl.,1, No. 1, 3–34 (1991).

    Google Scholar 

  11. Chuu Lian Terng, “Natural, vector bundles and natural differential operators,” Am. J. Math.,100, No. 4, 775–828 (1978).

    Google Scholar 

  12. C. Chevalley, Theory of Lie Groups [Russian translation], Vol. 1, IL, Moscow (1948).

    Google Scholar 

  13. S. Kobayashi, Transformation Groups in Differential Geometry, Springer, Berlin (1972).

    Google Scholar 

  14. T. Tsujishita, Formal Geometry of Systems of Differential Equations (Sugaku Expositions2), American Mathematical Society, Providence, R.I. (1989).

    Google Scholar 

  15. P. B. Gilkey, “Local invariants of a pseudo-Riemannian manifold,” Math. Scand.,36, 109–130 (1975).

    Google Scholar 

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Translated from Matematicheskie Zametki, Vol. 51, No. 6, pp. 15–26, June, 1992.

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Verbovetskii, A.M., Vinogradov, A.M. & Gessler, D.M. Scalar differential invariants and characteristic classes of homogeneous geometrical structures. Math Notes 51, 543–549 (1992). https://doi.org/10.1007/BF01263295

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