Let M be a connected smooth manifold, let Aut(p) be the group automorphisms of the bundle p: R x M -> R, and let q: J(1)(R, M) x R -> J(1) (R, M) be the canonical projection. Invariant functions on J(r)(q) under the natural action of Aut(p) are discussed in relationship with the Lagrangian equivalence problem. The second order invariants are determined geometrically as well as some other higher-order invariants for dim M > 2. (C) 2017 Elsevier Inc. All rights reserved.
Let M be a connected smooth manifold, let Aut(p) be the group automorphisms of the bundle p: R x M -> R, and let q: J(1)(R, M) x R -> J(1) (R, M) be the canonical projection. Invariant functions on J(r)(q) under the natural action of Aut(p) are discussed in relationship with the Lagrangian equivalence problem. The second order invariants are determined geometrically as well as some other higher-order invariants for dim M > 2. (C) 2017 Elsevier Inc. All rights reserved. Read More
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