Linear natural liftings of forms to Weil bundles with Weil algebras {\mathbb D}^r_k


We give an explicit description and calculate the  dimension of the vector space of linear natural liftings of  p-forms on n-dimensional manifolds M to q-forms on  T^{{\mathbb D}^r_k}M, where {\mathbb D}^r_k is the Weil algebra of  r-jets at 0 of smooth functions {\mathbb R}^k\longrightarrow{\mathbb R},  for all non-negative integers n, p, q, r, k except the case p=n  and q=0.

DOI Code: 10.1285/i15900932v28n2p99

Keywords: natural operator; Weil algebra

Classification: 58A32

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