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The tangent cone of an Aleksandrov space of curvature ≤K

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References

  1. Aleksandrov A.D.: Über eine Verallgemeinerung der Riemannschen Geometrie. Schr. Forschungsinst. Math. 1, 33–84 (1957)

    MathSciNet  Google Scholar 

  2. —, Berestovskii V.N. & Nikolaev I.G.: Generalized Riemannian spaces. Russian Math. Surveys 41, 1–54 (1986)

    Article  MathSciNet  Google Scholar 

  3. Berestovskii V.N.: Spaces of bounded curvature and distance geometry. Sib. Mat. J. 27, 8–19 (1986)

    Article  MathSciNet  Google Scholar 

  4. Berestovskii V.N.: On Aleksandrov spaces of curvature bounded above. Submitted for publication

  5. Berestovskii V.N. & Nikolaev I.G.: Multidimensional generalized Riemannian spaces. In book: Encyclopaedia of Math. Sciences 70, Springer, 1993, 165–243

  6. Burago Yu.D., Gromov M. & Perelman G.: A. D. Aleksandrov spaces with curvatures bounded below. Russian Math. Survey 47:2, 1–58 (1992)

    Article  MathSciNet  Google Scholar 

  7. Gromov M. & Schoen R.M.: Harmonic maps into singular spaces andp-adic superrigidity for lattices in groups of rank one. IHES Publications Math. 76, 165–246 (1992)

    MathSciNet  Google Scholar 

  8. Jost J.: Equilibrium maps between metric spaces. Calc. Var., to appear.

  9. Korevaar N.J. & Schoen R.M.: Sobolev spaces and harmonic maps for metric space targets. Comm. Anal. Geom., to appear

  10. Nikolaev I.G.: Space of directions at a point in a space of curvature no greater thanK. Sib. Math. J. 19, 944–949 (1978)

    Article  Google Scholar 

  11. Reshetnyak Yu.G.: Inextensible mappings in a space of curvature no greater thanK. Sib. Mat. J. 9, 683–689 (1968)

    Google Scholar 

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  1. Department of Mathematics, University of Illinois at Urbana-Champaign, 273 Altgeld Hall, MC-382, 1409 West Green St., 61801, Urbana, IL

    Igor Nikolaev

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  1. Igor Nikolaev
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Nikolaev, I. The tangent cone of an Aleksandrov space of curvature ≤K . Manuscripta Math 86, 137–147 (1995). https://doi.org/10.1007/BF02567983

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  • DOI: https://doi.org/10.1007/BF02567983

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