Toponogov's Theorem and Applications

@inproceedings{MeyerToponogovsTA,
  title={Toponogov's Theorem and Applications},
  author={Wolfgang Meyer}
}
These notes have been prepared for a series of lectures given at the College on Diierential Geometry at Trieste in the Fall of 1989. The lectures center around To-ponogov's triangle comparison theorem, critical point theory and applications. In the short amount of time available not all the aspects can becovered. We focus on those applications which seem to be most important and at the same time most suitable for an exposition. Some basic knowledge in geometry will be assumed. It has been… CONTINUE READING

From This Paper

Topics from this paper.

References

Publications referenced by this paper.
Showing 1-10 of 26 references

Curvature at innnity of open nonnegatively curved manifolds

Ess Eschenburg, J Schroeder, V Strake
J. Dii. Geom • 1989

Examples of manifolds of positive Ricci curvature

Sy1 ] Sha, Yang Ji-Ping, Da-Gang
J. Dii. Geo • 1989

A splitting theorem for open nonnegatively curved manifolds

M St ] Strake
Manuscripta Math • 1988

Bounding homotopy types by geometry

Gp Grove, K Petersen
Ann. of Math • 1988

Distance nondecreasing retraction on a complete open manifold of nonnegative curvature

J W Yim
Distance nondecreasing retraction on a complete open manifold of nonnegative curvature • 1987

Quelques exemples de vari et es riemanniennes compl etes non compactes a courbure de Ricci positive

B ] B Erard Bergery
C. R. Acad. Sc. Paris, t. 302. S erie I • 1986

Examples of complete manifolds with positive Ricci curvature

D Gm2 ] Gromoll, W Meyer
J. Dii. Geom • 1985

An elementary proof of the Cheeger-Gromoll splitting theorem

Eh Eschenburg, J Heintze
Ann. Glob. Analysis and Geometry • 1984

Similar Papers

Loading similar papers…