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Differential invariants and curved Bernstein-Gelfand-Gelfand sequences - MaRDI portal

Differential invariants and curved Bernstein-Gelfand-Gelfand sequences (Q2755157)

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scientific article; zbMATH DE number 1669675
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Differential invariants and curved Bernstein-Gelfand-Gelfand sequences
scientific article; zbMATH DE number 1669675

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    Differential invariants and curved Bernstein-Gelfand-Gelfand sequences (English)
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    8 November 2001
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    natural differential operators
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    Bernstein-Gelfand-Gelfand sequences
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    conformal differential geometry
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    The authors present a simple construction of the Bernstein-Gelfand-Gelfand sequences of natural differential operators on a manifold with parabolic geometry. This method also allows to define the additional structure of a bilinear differential ``cup product'' satisfying the Leibniz rule up to curvature terms. The construction is illustrated in the case of conformal differential geometry.
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