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Global Differential Geometry and Global Analysis 1984 pp 254–263Cite as

Small eigenvalues of the Laplacian and examples

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1156))

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References

  1. K. Benko, M. Kothe, K. D. Semmler, U. Simon: Eigenvalues of the Laplacian and curvature. Colloquium math. 42, 19–31 (1979; Zbl. 437.53032).

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  2. M. Berger, P. Gauduchon, E. Mazet: Le spectre d'une variété Riemannienne. Lecture Notes in Math., Vol. 194, Berlin-Heidelberg-New-York: Springer-Verlag 1971.

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  3. J. Hersch: Quatre propiétés isopérimétriques de membranes sphériques homogenes, C. R. Acad, Sci. Paris, Ser. A 270, 1645–1648 (1970; Zbl. 224.73083).

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  4. S. Kobayashi, K. Nomizu: Foundations of differential geometry Vol. I, Interscience Publishers New York, London 1963.

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  5. M. Kozlowski: Geometrische Abschätzungen für kleine Eigenwerte des Laplaceoperators auf fast-sphärischen Rotationsellipsoiden. Dissertation FB 3 TU Berlin 1983.

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  6. M. Kozlowski, U. Simon: Minimal immersions of 2-manifolds into spheres. Math. Z. 186, 377–382 (1984)

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  7. T. Pavlista: Geometrische Abschätzungen kleiner Eigenwerte des Laplaceoperators. Dissertation FB 3 TU Berlin 1984.

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Authors
  1. Targo Pavlista
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Dirk Ferus Robert B. Gardner Sigurdur Helgason Udo Simon

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© 1985 Springer-Verlag

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Pavlista, T. (1985). Small eigenvalues of the Laplacian and examples. In: Ferus, D., Gardner, R.B., Helgason, S., Simon, U. (eds) Global Differential Geometry and Global Analysis 1984. Lecture Notes in Mathematics, vol 1156. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0075097

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  • DOI: https://doi.org/10.1007/BFb0075097

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15994-0

  • Online ISBN: 978-3-540-39698-7

  • eBook Packages: Springer Book Archive

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