Hostname: page-component-cd9895bd7-fscjk Total loading time: 0 Render date: 2024-12-25T07:15:25.091Z Has data issue: false hasContentIssue false
  • English
  • Français

Harmonic p-Tensors on Normal Hyperbolic Riemannian Spaces

Published online by Cambridge University Press:  20 November 2018

G. F. D. Duff
G. F. D. Duff*
Affiliation:
Massachusetts Institute of Technology and University of Toronto
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

The subject of this paper is the study of boundary value theorems for harmonic p-tensors on a Riemannian space with an indefinite metric of the normal hyperbolic signature.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 5 , 1953 , pp. 57 - 80
Copyright
Copyright © Canadian Mathematical Society 1953

References

1. Courant, R. and Hilbert, D., Methoden der mathematischen Physik (Berlin, 1937).Google Scholar
2. Duff, G. F. D., Differential forms in manifolds with boundary, Ann. Math., 56(1952), 115–127.Google Scholar
3. Duff, G. F. D. and Spencer, D. C., Harmonic tensors in Riemannian manifolds with boundary, Ann. Math., 56 (1952), 128–156.Google Scholar
4. Fremberg, N. E., A study of generalized hyperbolic potentials, Lund Univ. Math. Sem., 7 (1946), 100 pp.Google Scholar
5. Hadamard, J., Lectures on Cauchy's problem (Newhaven, Conn., 1923).Google Scholar
6. Kodaira, K., Harmonic fields in Riemannian manifolds, Ann. Math., 50 (1949), 587–665.Google Scholar
7. G.|Pólya and G.|Szegä, Aufgaben und Lehrsätze aus der Analysis, (Berlin, 1925).Google Scholar
8. de Rham, G., (a) Harmonic integrals, Institute for Advanced Study Seminar Notes (Princeton, 1950). (b) J. Math, pures appl., 10 (1931), 115–200.Google Scholar
9. M.|Riesz, L'Intégrale de Riemann-Liouville et le probléme de Cauchy, Acta Math., 81 (1949), 1–223.Google Scholar
10. Synge, J. L. and Schild, A., Tensor Calculus (Toronto, 1949).Google Scholar