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Harmonic p-Tensors on Normal Hyperbolic Riemannian Spaces

  • G. F. D. Duff (a1)

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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.

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References

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1. Courant, R. and Hilbert, D., Methoden der mathematischen Physik (Berlin, 1937).
2. Duff, G. F. D., Differential forms in manifolds with boundary, Ann. Math., 56(1952), 115127.
3. Duff, G. F. D. and Spencer, D. C., Harmonic tensors in Riemannian manifolds with boundary, Ann. Math., 56 (1952), 128156.
4. Fremberg, N. E., A study of generalized hyperbolic potentials, Lund Univ. Math. Sem., 7 (1946), 100 pp.
5. Hadamard, J., Lectures on Cauchy's problem (Newhaven, Conn., 1923).
6. Kodaira, K., Harmonic fields in Riemannian manifolds, Ann. Math., 50 (1949), 587665.
7. G.|Pólya and G.|Szegä, Aufgaben und Lehrsätze aus der Analysis, (Berlin, 1925).
8. de Rham, G., (a) Harmonic integrals, Institute for Advanced Study Seminar Notes (Princeton, 1950). (b) J. Math, pures appl., 10 (1931), 115200.
9. M.|Riesz, L'Intégrale de Riemann-Liouville et le probléme de Cauchy, Acta Math., 81 (1949), 1223.
10. Synge, J. L. and Schild, A., Tensor Calculus (Toronto, 1949).
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Harmonic p-Tensors on Normal Hyperbolic Riemannian Spaces

  • G. F. D. Duff (a1)

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