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L 2·Curvature pinching

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Commentarii Mathematici Helvetici

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References

  1. P. Berard andS. Gallot,Inégalités isopérimétriques pour l'équation de la chaleur et application à l'éstimation de quelques invariants géométriques, Preprint, Chambery 1985.

  2. S. Gallot,Inégalités isopérimétriques, courbure de Ricci et invariants géométriques I, II C. R. Acad. Sci.296 (1983), 333–336 and 365–368.

    MathSciNet  MATH  Google Scholar 

  3. S. Gallot,A Sobolev inequality and some geometric applications in “Spectra of Riemannian manifolds”, Kaigai Publ., Tokyo (1983), 45–55.

    Google Scholar 

  4. L. Z. Gao,L n/2-Curvature Pinching, Preprint, Rice University, 1988.

  5. M. Gromov,Manifolds of negative curvature, J. Diff. Geom.13 (1978), 223–230.

    MathSciNet  MATH  Google Scholar 

  6. M. Gromov,Almost flat manifolds, J. Diff. Geom.13 (1978), 231–241.

    MathSciNet  MATH  Google Scholar 

  7. M. Gromov,Paul Levy's isoperimetric inequality, I.H.E.S., 1980.

  8. K. Grove, H. Karcher andE. A. Ruh,Jacobi fields and Finsler metrics on compact Lie groups with an application to differentiable pinching problems, Math. Ann.211 (1974), 7–21.

    Article  MathSciNet  MATH  Google Scholar 

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

    MathSciNet  MATH  Google Scholar 

  10. P. Li,On the Sobolev constant and the p-spectrum of a compact Riemannian manifold, Ann. Sci. Ec. Norm. Sup.,13 (1980), 451–469.

    MathSciNet  MATH  Google Scholar 

  11. M. Min-Oo andE. A. Ruh,Curvature Deformations, in “Curvature and topology of Riemannian manifolds”, Lect. Notes in Math., vol.1201, Springer, 1986.

  12. M. Min-Oo,Almost Einstein manifolds of negative Ricci curvature, to appear in J. Diff. Geom.

  13. J. Moser,A Harnack inequality for parabolic differential equations, Comm. Pure Appl. Math.17 (1964), 101–134.

    Article  MathSciNet  MATH  Google Scholar 

  14. E. A. Ruh:Almost flat manifolds, J. Diff. Geom.17 (1982), 1–14.

    MathSciNet  MATH  Google Scholar 

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This work was partially supported by an N.S.E.R.C. Grant A7873 of Canada and N.S.F. Grant DMS-8601282 of the USA.

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Min-Oo, M., Ruh, E.A. L 2·Curvature pinching. Commentarii Mathematici Helvetici 65, 36–51 (1990). https://doi.org/10.1007/BF02566591

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