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An eigenvalue bound for compact manifolds with varying curvature

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References

  1. Cheeger, J., Gromoll, D.: The splitting theorem for manifolds of non-negative Ricci curvature, J. Diff. Geom.6 (1971), 119–128.

    Google Scholar 

  2. Cheeger, J., Yau, S. T.: A lower bound for the heat kernel, Comm. Pure Appl. Math.34 (1981), 465–480.

    Google Scholar 

  3. Davies, E. B.: Heat kernels and spectral theory, Cambr. Univ. Press, 1989.

  4. Gromov, M.: Curvature, diameter and Betti numbers, Comment. Math. Helv.56 (1981), 179–195.

    Google Scholar 

  5. Hamilton, R. S.: Three-manifolds with positive Ricci curvature, J. Diff. Geom.17 (1982), 255–306.

    Google Scholar 

  6. Kazdan, J. L.: Prescribing the curvature of a Riemannian manifold, Conf. Board of the Math. Sciences, no.57 Amer. Math. Soc., 1985.

  7. Li, P., Yau, S. T.: Estimates of eigenvalues of a compact Riemannian manifold, Proc. Symp. Pure Math.36 (1980), 205–239.

    Google Scholar 

  8. Li, P., Yau, S. T.: On the parabolic kernel of the Schrödinger operator, Acta Math.156 (1986), 153–201.

    Google Scholar 

  9. Stein, E. M., Weiss, G.: Introduction to Fourier analysis on Euclidean spaces, Princeton Univ. Press, 1971.

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Department of Mathematics Cornell University

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Davies, E.B. An eigenvalue bound for compact manifolds with varying curvature. Ann Glob Anal Geom 7, 107–114 (1989). https://doi.org/10.1007/BF00127861

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