A note on a paper of Palais
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- by L. Jonker PDF
- Proc. Amer. Math. Soc. 27 (1971), 337-340 Request permission
Abstract:
If ${\Phi ^p}$ denotes the space of smooth alternating $p$-forms on the ${C^\infty }$ manifold $M$, we are interested in finding the spaces of $R$-linear maps from ${\Phi ^p}$ to ${\Phi ^q}$ that commute with the diffeomorphisms of $M$. For a compact manifold $M$ these spaces were found by R. S. Palais. In this note we find them for noncompact $M$.References
- W. Greub and E. Stamm, On the multiplication of tensor fields, Proc. Amer. Math. Soc. 17 (1966), 1112–1119. MR 200843, DOI 10.1090/S0002-9939-1966-0200843-3 L. Jonker, Natural differential operators, Ph.D. Thesis, University of Toronto, 1967.
- Richard S. Palais, Natural operations on differential forms, Trans. Amer. Math. Soc. 92 (1959), 125–141. MR 116352, DOI 10.1090/S0002-9947-1959-0116352-7
Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 27 (1971), 337-340
- MSC: Primary 53.45; Secondary 57.00
- DOI: https://doi.org/10.1090/S0002-9939-1971-0270288-0
- MathSciNet review: 0270288