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Generalized forms and their applications
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DOI：10.1088/0264-9381/19/9/307.png)
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Abstract
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The calculus of generalized p-forms, -1less than or equal topless than or equal ton, is developed further. On an n-dimensional manifold with metric, M, a (Hodge) star operator, inner product, co-differential and Laplacian operators are introduced. The inner product and Lie derivative with respect to vector fields on M are defined. Applications are made to Hamiltonian mechanics, field theories and Einstein's vacuum equations.
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