Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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CONVERGENCE IN METRIC DIFFERENTIAL GEOMETRY

  • Published : 2003.01.01
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Abstract

We use geometric properties of Gromov-Hausdorff-convergence to present a way to construct rough but natural invariants of metric geometry.

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References

  1. Ann. of Math. Ricci curvature and volume convergence T. Colding
  2. Proc. Symp. Pure Math. v.15 The manifold of riemannian metrics D. Ebin
  3. I.H.E.S. v.53 Groups of polynomial growth and expanding maps M. Gromov
  4. Metric Structures for Riemannian and Non-Riemannian Spaces M. Gromov
  5. Math. Z. v.132 How to conjugate $C^1$-close group actions K. Grove;H. Karcher https://doi.org/10.1007/BF01214029
  6. Inv. Math. v.23 Group actions and curvature K. Grove;H. Karcher;E. Ruh https://doi.org/10.1007/BF01405201
  7. J. Diff. Geom. v.33 Manifolds near the boundary of existence K. Grove;P. V. Petersen https://doi.org/10.4310/jdg/1214446323
  8. Arch. Math. v.49 Semicontinuity of compact group actions on compact differentiable manifolds Y. W. Kim https://doi.org/10.1007/BF01194103
  9. Bull. Korean math. Soc. v.35 no.1 On the Gromov-Hausdorff convergence of geodesices Y. W. Kim
  10. GTM v.171 Riemannian Geometry P. V. Petersen
  11. LNS v.8 An Introduction to the Geometry of Alexandrov Spaces K. Shiohama