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Second-order parabolic equations in principal fibre bundles and associated vector bundles

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Global Analysis - Studies and Applications IV

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1453))

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References

  1. Bleecker D. Physics from the G-bundle point. Int J. of Theor. Phys. v.23, N 8, 1984, p. 735–750.

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  2. Elworthy D. Stochastic differential equation on manifolds London Math. Soc. Lecture Notes N 70. Cambridge, 1982.

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  3. Belopol'skaya Ya.I., Daletskii Yu.L. Itô equations and differential geometry.-Usp. Met. Nauk, 1982, vol.37, No 3 (in Russian; see English translation in Russian Math. Surveys).

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  4. Belopol'skaya Ya.I., Daletskii Yu.L. Stochastic equations and differential geometry.-In: Analysis on Manifolds and Differential Equations. Voronezh, 1986 (in Russian; see English translation in Lecture Notes in Mathematics, vol.1214, 1986).

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  5. Kobayashi S., Nomizu K. Foundations of differential geometry, v.I. N.Y. 1963.

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  6. Eliasson H. Geometry of manifolds of maps. J. Diff. Geom., 1967, vol 1, p. 169–194.

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  7. Daletskii Yu.L. Infinite-dimensional elliptic operators and the corresponding parabolic equations.-Usp. Mat. Nauk, 1967, vol.21 No 3 (in Russian).

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Authors and Affiliations

  1. Institute of Technical Thermophysics Academy of Sciences of Ukr. SSR, 252057, Kiev, USSR

    Ya. I. Belopol'skaya

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  1. Ya. I. Belopol'skaya
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Yurii G. Borisovich Yurii E. Gliklikh A. M. Vershik

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© 1990 Springer-Verlag

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Belopol'skaya, Y.I. (1990). Second-order parabolic equations in principal fibre bundles and associated vector bundles. In: Borisovich, Y.G., Gliklikh, Y.E., Vershik, A.M. (eds) Global Analysis - Studies and Applications IV. Lecture Notes in Mathematics, vol 1453. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0085955

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  • DOI: https://doi.org/10.1007/BFb0085955

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  • Print ISBN: 978-3-540-53407-5

  • Online ISBN: 978-3-540-46861-5

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