Generalized forms and their applications

Details Generalized forms and their applications Generalized forms and their applications

May 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002cqgra..19.2425n&link_type=abstract

Classical and Quantum Gravity, Volume 19, Issue 9, pp. 2425-2436 (2002).

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The calculus of generalized p-forms, -1 ≤ p ≤ n, 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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