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Hodge theory

Related Terms:

real laplacian riemannian partial differential equation differential group smooth manifold coefficient cohomology operator metric

Noun

Definition: One aspect of the study of differential forms of a smooth manifold M. More specifically, it works out the consequences for the cohomology groups of M, with real coefficients, of the partial differential equation theory of generalised Laplacian operators associated to a Riemannian metric on M.

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