Generalized forms and their applications

Paweł Nurowski

doi:10.1088/0264-9381/19/9/307

2002-04-18

PRE

Paweł Nurowski *

Robinson, DC

DOI：10.1088/0264-9381/19/9/307

原文链接

原文求助

摘要

En 中文

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.