Tsagas, Gr.:
The spectrum of the Laplace operator for a spherical space form
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Serie 8 74 (1983), fasc. n.6, p. 357-365, (English)
pdf (448 Kb), djvu (636 Kb). | MR 0756716 | Zbl 0545.58045
Sunto
Si determina lo spettro di un operatore di Laplace di una «spherical space form» $(M,g)$ e si studia l’influenza di tale spettro su $(M,g)$.
Referenze Bibliografiche
[1] M. Berger, P. Gaudachon and E. Mazet (1971) - Le spectre d'une variété Riemannenne, «Lecture Notes in Mathematics», 194, Springer-Verlag, Berlin-Heidelberg-New York.
[2]
R.S. Cahn and
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Zeta functions and their asymptotic expansions for compact symmetric spaces of rank 1,
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fulltext EuDML |
MR 397801 |
Zbl 0327.43013[3]
A. Ikeda (
1980) -
On the spectrum of a Riemannian manifold of positive constant curvature,
«Osaka J. Math.»,
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MR 558320 |
Zbl 0436.58025[4] A. Ledger and Gr. Tsagas - Some properties of the Laplacian on lens spaces, To appear in Colloquium Mathematicum Poland.
[5]
Gr. Tsagas and
K. Kockinos (
1979) -
The Geometry and the Laplace eperator on the exterior 2-forms on a compact Riemannian manifold,
«Proc. of A.M.S.», Vol.
73, pp. 109-116. |
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MR 512069 |
Zbl 0399.58018[7]
Gr. Tsagas (
1982) -
The Geometry and the Bochner-Laplace operator on the exterior 2-forms on a compact Riemannian manifold,
«Tensor», Vol.
36, No.
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MR 826752[8]
Gr. Tsagas and
K. Kockinos (
1982) -
The Laplace operator on the exterior 3-forms,
«Tensor», Vol.
36, No. 1, pp. 55-60. |
MR 826749 |
Zbl 0475.58020[9] Gr. Tsagas (1981) - Generating function for space forms, To appear in Proceedings on the International Conference on Complex Analysis and Applications, Varna, Bulgaria, 20th September.
[10] J. Wolf (1977) — Spaces of constant curvature, «Publish or Perish, Inc.», Berkeley, California.
Con il contributo del Ministero per i Beni e le Attività Culturali