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A vanishing theorem for piecewise constant curvature spaces

Part of the Lecture Notes in Mathematics book series (LNM,volume 1201)

Keywords

  • Positive Curvature
  • Nonnegative Curvature
  • Spectral Geometry
  • Vanishing Theorem
  • Homology Manifold

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References

  1. J. Cheeger, Spectral geometry of spaces with cone-like singularities, preprint 1978.

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  2. J. Cheeger, On the spectral geometry of spaces with cone-like singularities, Proc. Nat. Acad. Sci., Vol. 76, 1979, 2103–2106.

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  3. J. Cheeger, On the Hodge Theory of Riemannian pseudomanifolds, A.M.S. Proc. Sym. Pure. Math., Vol. XXXVI, 1980, 91–146.

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  4. J. Cheeger, Spectral Geometry of singular Riemannian spaces, J. Dif. Geo. 18, 1983, 575–657.

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  5. J. Cheeger, W. Muller and R. Schrader, On the curvature of Piecewise flat spaces, Commun. Math. Phys. 92, 1984, 405–545.

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  6. S. Gallot and D. Meyer, Opérateur de courbure et Laplacien des formes differentielles d'une varieté riemannienne, J. Math. Pures et Appl. 54, (1975), 285–304.

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  7. M. Goresky and R. MacPherson, Intersection Homology Theory, Topolog 19, 1980, 135–162.

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  8. R. Hamilton, Four-manifolds with positive curvature operator (preprint 1985).

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© 1986 Springer-Verlag

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Cheeger, J. (1986). A vanishing theorem for piecewise constant curvature spaces. In: Shiohama, K., Sakai, T., Sunada, T. (eds) Curvature and Topology of Riemannian Manifolds. Lecture Notes in Mathematics, vol 1201. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0075646

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  • DOI: https://doi.org/10.1007/BFb0075646

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16770-9

  • Online ISBN: 978-3-540-38827-2

  • eBook Packages: Springer Book Archive