2017
DOI: 10.48550/arxiv.1703.01404
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Diffeological De Rham operators

Abstract: We consider the notion of the De Rham operator on finite-dimensional diffeological spaces such that the diffeological counterpart Λ 1 (X) of the cotangent bundle, the so-called pseudo-bundle of values of differential 1-forms, has bounded dimension. The operator is defined as the composition of the Levi-Civita connection on the exterior algebra pseudo-bundle (Λ 1 (X)) with the standardly defined Clifford action by Λ 1 (X); the latter is therefore assumed to admit a pseudo-metric for which there exists a Levi-Ci… Show more

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