Existence of closed quasigeodesic in Alexandrov spaces of some types
Kishimoto, Iwao
Proc. Japan Acad. Ser. A Math. Sci., Tome 78 (2002) no. 10, p. 30-32 / Harvested from Project Euclid
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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.
Publié le : 2002-03-14
Classification:  Alexandrov space,  quasigeodesic,  convex hypersurface,  53C23,  52A20,  58E10 
@article{1148392746,
     author = {Kishimoto, Iwao},
     title = {Existence of closed quasigeodesic in Alexandrov spaces of some types},
     journal = {Proc. Japan Acad. Ser. A Math. Sci.},
     volume = {78},
     number = {10},
     year = {2002},
     pages = { 30-32},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1148392746}
}

Kishimoto, Iwao. Existence of closed quasigeodesic in Alexandrov spaces of some types. Proc. Japan Acad. Ser. A Math. Sci., Tome 78 (2002) no. 10, pp.  30-32. http://gdmltest.u-ga.fr/item/1148392746/