$C^ \infty$-invariants on loop spaces
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- Proc. Amer. Math. Soc. 100 (1987), 322-328 Request permission
Abstract:
We compute all the ${C^\infty }$-invariants on the spaces of immersions $C_I^\infty ({S^1},S)$ and $C_I^\infty ({S^1},{{\mathbf {R}}^3})$, where $S$ is a surface of constant curvature, by using Griffithsâ formalism on the calculus of variations via exterior differential systems.References
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Additional Information
- © Copyright 1987 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 100 (1987), 322-328
- MSC: Primary 58D10; Secondary 53C20, 57R42, 58E10
- DOI: https://doi.org/10.1090/S0002-9939-1987-0884473-X
- MathSciNet review: 884473