Chern-Simons forms of pseudo-Riemannian homogeneity on the oscillator group.

Gadea, P. M.; Oubiña, J. A.

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This paper is primarily concerned with pseudo-Riemannian superalgebras, which are superalgebras endowed with pseudo-Riemannian non-degenerate supersymmetric consistent bilinear forms. Decompositions of pseudo-Riemannian superalgebras whose left centers are isotropic and whose left centers are not isotropic are investigated.

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Takeshi Sumitomo (1972)

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On invariant operations on pseudo-Riemannian manifolds

Jan Slovák (1992)

Commentationes Mathematicae Universitatis Carolinae

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Invariant polynomial operators on Riemannian manifolds are well understood and the knowledge of full lists of them becomes an effective tool in Riemannian geometry, [Atiyah, Bott, Patodi, 73] is a very good example. The present short paper is in fact a continuation of [Slovák, 92] where the classification problem is reconsidered under very mild assumptions and still complete classification results are derived even in some non-linear situations. Therefore, we neither repeat the detailed...

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