ISSN:
1572-9168
Keywords:
Weil algebra
;
Weil bundle
;
natural operator
;
higher order Lagrangian.
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract Let Q:B→A be an algebra epimorphism, where A, B are Weil algebras. Let Q M:T B M→ T AM denote the canonical extension of Q, from the bundle of B-velocities onto the bundle of A-velocities, over a manifold M. Classifications of all natural operators transforming real-valued functions on T AM into real-valued functions on T BM or into 1-forms on T BM of finite order with respect to Q M are given, provided the dimension of M is sufficiently large.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1004991427771
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