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Differential-geometric structures on manifolds

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Abstract

The work is an analytically systematic exposition of modern problems in the investigation of differentiable manifolds and the geometry of fields of geometric objects on such manifolds.

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Translated from Itogi Nauki i Tekhniki, Problemy Geometrii, Vol. 9, pp. 5–246.

The authors thank the members of the Geometry Seminar Committee: Professor B. L. Laptev, Professor A. P. Norden, Professor V. T. Bazylev, and Professor V. V. Ryzhkov, who took part in discussing the topics and structure of the book, for their suggestions and remarks. The authors also express their gratitude to the scientific co-worker of the Department of Mathematics of VINITI, Z. A. Izmailova, who provided much assistance in the preparation of the book.

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Evtushik, L.E., Lumiste, Y.G., Ostianu, N.M. et al. Differential-geometric structures on manifolds. J Math Sci 14, 1573–1719 (1980). https://doi.org/10.1007/BF01084960

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