Skip to main content
SpringerLink
Log in

Discontinuity of geometric expansions

  • Published:
Commentarii Mathematici Helvetici

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  • [A]Avramidi, I. G.: Theoret. Math. Fiz. (1989)291 and Yad. Fiz.49 (1989) 1185.

  • [B]Berard, P.: Variétés riemanniennes isospectrales non isométriques, Sem. Bourbaki. Astérisque 177/178, (1989), 127–154.

    MathSciNet  Google Scholar 

  • [BGM]Berger, M., Gauduchon, P., Mazet, E.:Le spectre d'une variété riemannienne, Springer, LNM194, (1971).

  • [Ch]Chavel, I.:Eigenvalues in Riemannian Geometry, Academic Press, 1984.

  • [Co]Colbois, B.:Petites valeurs propres du Laplacien sur une surface de Riemann compacte et graphes, C.R. Acad. Sci. Paris,301 (1985), 927–930.

    MathSciNet  Google Scholar 

  • [CD]Colbois, B. andDodziuk, J.:Riemannian metrics with large λ 1, Proc. AMS, to appear.

  • [C1]Colin de Verdière, Y.:Construction de Laplaciens dont une partie finie du Spectre est donnée, Ann. Ec. Norm. Sup.,20 (1987), 599–615.

    Google Scholar 

  • [C2]Colin de Verdière, Y.:Sur une hypothèse de transversalité d'Arnold, Comment. Math. Helv., 63 (1988), 184–193.

    Article  MathSciNet  Google Scholar 

  • [C3]Colin de Verdière, Y.:Sur la multiplicité de la première valeur propre non nulle du laplacien, Comment. Math. Helv.,61 (1986), 254–270.

    MathSciNet  Google Scholar 

  • [D]Dodziuk, J.:Nonexistence of universal upper bounds for the first eigenvalue of the Laplace-Beltrami Operator, Contemp. Math.,173 (1994), 109–117.

    MathSciNet  Google Scholar 

  • [G]Gilkey, P. B.:Leading terms in asymptotics of the heat equation, Contemporary Math.,73, AMS (1988), 79–85.

    MathSciNet  Google Scholar 

  • [LY]Li, P. andYau, S. T.:Estimates of eigenvalues of a compact Riemannian manifold, Proc. Symp. Pure Math.,36 (1980), 205–239.

    MathSciNet  Google Scholar 

  • [L1]Lohkamp, J.:Metrics of negative Ricci curvature, Ann. Math.,140 (1994), 655–683.

    Article  MathSciNet  Google Scholar 

  • [L2]Lohkamp, J.,Curvature h-principles, Ann. Math.,142 (1995), 457–498.

    Article  MathSciNet  Google Scholar 

  • [RT]Rauch, J. andTaylor, M.:Potential and scattering theory on widely perturbed domains, J. Funct. Anal.,18 (1975), 25–59.

    Article  MathSciNet  Google Scholar 

  • [X]Xu, Y.:Diverging Eigenvalues and Collapsing Riemannian Metrics, Princeton, 1992, Preprint.

Download references

Author information

Authors and Affiliations

  1. Institut des Hautes Etudes Scientifiques, 35 route de Chartres, 91440, Bures-sur-Yvette, France

    Joachim Lohkamp

Authors
  1. Joachim Lohkamp
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Supported by the “Deutsche Forschungsgemeinschaft DFG”

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lohkamp, J. Discontinuity of geometric expansions. Commentarii Mathematici Helvetici 71, 213–228 (1996). https://doi.org/10.1007/BF02566417

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02566417

Keywords

Search

Navigation