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An eigenvalue pinching theorem

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Inventiones mathematicae Aims and scope

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References

  1. Bérard, P., Meyer, D.: Inegalites isoperimetriques et applications. (Preprint)

  2. Gallot, S.: Un théorème de pincement et une estimation sur la première valeur propre du Laplacien d'une variété riemannienne. C.R. Acad. Sc. Paris, t.289, 8 série A, 411–444 (1979)

    Google Scholar 

  3. Gromov, M.: Paul Levy's isoperimetric inequality. (Preprint)

  4. Grove, K., Shiohama, K.: A generalized sphere theorem. Ann. of Math.106, 201–211 (1977)

    Google Scholar 

  5. Li, P., Treibergs, A.: Pinching theorem for the first eigenvalue on positively curved four-manifolds. Invent. math.66, 35–38 (1982)

    Google Scholar 

  6. Li, P., Zhong, J.Q.: Pinching theorem for the first eigenvalue on positively curved manifolds. Invent. Math.65, 221–225 (1981)

    Google Scholar 

  7. Lichnerowicz, A.: Geometrie des groupes de transformations. Dunod (1958)

  8. Pinsky, M.: A topological version of Obata's sphere theorem. J. Diff. Geom.14, 369–376 (1979)

    Google Scholar 

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Partially supported by NSF Grant #MCS 79-01780

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Croke, C.B. An eigenvalue pinching theorem. Invent Math 68, 253–256 (1982). https://doi.org/10.1007/BF01394058

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  • DOI: https://doi.org/10.1007/BF01394058

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