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Colin de Verdière, Yves

Spectre du Laplacien et longueurs des géodésiques périodiques. II. (French) Zbl 0281.53036

Compos. Math. 27, 159-184 (1973).
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Cited in 2 Reviews
Cited in 39 Documents

MSC:

53C20 Global Riemannian geometry, including pinching
35P05 General topics in linear spectral theory for PDEs
53C40 Global submanifolds
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\textit{Y. Colin de Verdière}, Compos. Math. 27, 159--184 (1973; Zbl 0281.53036)
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References:

[1] R. Abraham : Bumpy metrics . Proc. Symp. Pure Math. vol. 14 (1970) 1-3. · Zbl 0215.23301
[2] R. Balian et C. Bloch : Distributions of eigenfrequenties for the wave equation in a finite domain III. Eigenfrequenties density oscillation . Ann. of Physics 69. vol. 1 (1972) 76-160. · Zbl 0226.35070
[3] A. Benabdallah : Noyau de diffusion sur les espaces homogènes compacts . Thèse de 3ème cycle. Lyon (1972). · Zbl 0281.35046
[4] M. Berger , P. Gauduchon et E. Mazet : Les spectre d’une variété riemannienne . Lectures Notes in Mathematics 194. Springer Verlag 1971. · Zbl 0223.53034
[5] R. Bott : On the iteration of closed geodesics and the Sturm intersection theory . Comm. on Pure and Applied Math. 9 (1956) 171-206 · Zbl 0074.17202
[6] E. Combet : Paramétrix et invariants sur les variétés compactes . Ann. scient. Ec. Norm. Sup. 4ème série, tome 3 (1970) 247-271. · Zbl 0203.09601
[7] Y. Colin : Spectre du laplacien et longueurs des géodésiques périodiques I . Composition Mathematica, Vol. 27, Fasc. 1 (1973). (1972) (résumé dans C.R.A.S., Paris, t. 275 A, 805-808). · Zbl 0243.53045
[8] M.V. Fedoriuk : Méthode de la phase stationnaire pour les intégrales multiples . Journal de Math. Appliquées et de Physique Mathématique, vol. 2 no 1 (1962) 145-150. · Zbl 0122.12401
[9] P. Flaschel et W. Klingenberg : Riemannsche Hilbertmannigfaltigkeit . Periodätische Geodätische - Lectures Notes in Mathematics 282, Springer Verlag 1972. · Zbl 0238.58009
[10] H.P. Mc Kean : Selberg’s Trace Formula as Applied to a compact Riemann Surface . Comm. on Pure and Applied Math. XXV (1972) 225-246.
[11] H.P. Mc Kean et I.M. Singer : Curvature and the eigenvalues of the laplacien . J. of diff. geometry 1 (1967) 43-69. · Zbl 0198.44301
[12] V.P. Maslov : Théorie des perturbations et Méthodes asymptotiques (Traduction française Dunod 1972) · Zbl 0247.47010
[13] W. Meyer : Kritische Mannigfaltigkeiten in Hilbert mannigfaltigkeiten . Math. Ann. 170 (1967) 45-66. · Zbl 0142.21604
[14] J. Milnor : Morse Theory . Ann. of Math. Studies 51 (1963). · Zbl 0108.10401
[15] M. Berger : Lectures on Geodesics in Riemannian Geometry , Tata Institute, Bombay (1965). · Zbl 0165.55601
[16] Karsten Grove : Condition (C) for the energy integral on certain path-spaces and applications to the theory of geodecics . J. Diff. Geom. vol. 8 (1973) (a paraître). · Zbl 0277.58004
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