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Theory of invariants of structural tensor fields

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Abstract

Systems of algebraic, differential, and conformal concomitants of structures on manifolds and in general vector bundles, defined by fields of covariant (contravariant) tensors of arbitrary valence, are constructed. As a preliminary, there is given a systematic survey of the theory of fiberwise and connecting tensor fields of vector bundles of Banach type and their covariant differentiation.

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  1. Yu. I. Ermakov
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Translated from Itogi Nauki i Tekhniki, Seriya Problemy Geometrii, Vol. 17, pp. 51–86, 1985.

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Ermakov, Y.I. Theory of invariants of structural tensor fields. J Math Sci 37, 1184–1209 (1987). https://doi.org/10.1007/BF01091859

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