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Annals of Global Analysis and Geometry

, Volume 6, Issue 2, pp 191–206 | Cite as

Distance nonincreasing retraction on a complete open manifold of nonnegative sectional curvature

  • Jin-Whan Yim
Article

We construct a distance nonincreasing deformation retraction from a complete open manifold of nonnegative sectional curvature to a soul. Using this retraction, we prove that any two souls are isometric and also obtain a lower bound on the injectivity radius of such manifolds.

Keywords

Group Theory Sectional Curvature Injectivity Radius Open Manifold Nonnegative Sectional Curvature 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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Copyright information

© VEB Deutscher Verlag der Wissenschaften 1988

Authors and Affiliations

  • Jin-Whan Yim
    • 1
  1. 1.Department of MathematicsUniversity of PennsylvaniaPhiladelphiaUSA

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