Distance nonincreasing retraction on a complete open manifold of nonnegative sectional curvature
- Cite this article as:
- Yim, JW. Ann Glob Anal Geom (1988) 6: 191. doi:10.1007/BF00133039
- 91 Downloads
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.