Asymptotics of small eigenvalues of Riemann surfaces
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- by Marc Burger PDF
- Bull. Amer. Math. Soc. 18 (1988), 39-40
References
- Marc Burger, Estimation de petites valeurs propres du laplacien d’un revêtement de variétés riemanniennes compactes, C. R. Acad. Sci. Paris Sér. I Math. 302 (1986), no. 5, 191–194 (French, with English summary). MR 832070
- Marc Burger, Spectre du laplacien, graphes et topologie de Fell, Comment. Math. Helv. 63 (1988), no. 2, 226–252 (French). MR 948779, DOI 10.1007/BF02566764
- Peter Buser, Cubic graphs and the first eigenvalue of a Riemann surface, Math. Z. 162 (1978), no. 1, 87–99. MR 505920, DOI 10.1007/BF01437826 [Bu2] P. Buser, Riemannsche Flächen und Längenspektrum vom trigonometrischen Standpunkt aus, Habilitationsschrift, Bonn, 1980. [C.CdV] B. Colbois and Y. Colin de Verdière, Sur la multiplicité de la première valeur propre d’une surface de Riemann à courbure constante, preprint. [D.P.R.S.] J. Dodziuk, T. Pignataro, B. Randol, and D. Sullivan, Estimating small eigenvalues of Riemann surfaces, preprint.
- R. Schoen, S. Wolpert, and S. T. Yau, Geometric bounds on the low eigenvalues of a compact surface, Geometry of the Laplace operator (Proc. Sympos. Pure Math., Univ. Hawaii, Honolulu, Hawaii, 1979) Proc. Sympos. Pure Math., XXXVI, Amer. Math. Soc., Providence, R.I., 1980, pp. 279–285. MR 573440
Additional Information
- Journal: Bull. Amer. Math. Soc. 18 (1988), 39-40
- MSC (1985): Primary 53C22, 58G25; Secondary 30F99
- DOI: https://doi.org/10.1090/S0273-0979-1988-15588-7
- MathSciNet review: 919656