Existence of closed quasigeodesic in Alexandrov spaces of some types

Iwao Kishimoto

doi:10.3792/pjaa.78.30

Translator Disclaimer

March 2002 Existence of closed quasigeodesic in Alexandrov spaces of some types

Iwao Kishimoto

Proc. Japan Acad. Ser. A Math. Sci. 78(3): 30-32 (March 2002). DOI: 10.3792/pjaa.78.30

Abstract

We will prove the existence of closed quasigeodesics in compact Alexandrov spaces which can be approximated by Riemannian manifolds in the Lipschitz sense. By applying it, we will prove that every convex hypersurface in Euclidean spaces has a closed quasigeodesic.

Citation

Download Citation

Iwao Kishimoto. "Existence of closed quasigeodesic in Alexandrov spaces of some types." Proc. Japan Acad. Ser. A Math. Sci. 78 (3) 30 - 32, March 2002. https://doi.org/10.3792/pjaa.78.30