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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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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
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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