The dimension of a cut locus on a smooth Riemannian manifold

Authors
Citation
J. Itoh et M. Tanaka, The dimension of a cut locus on a smooth Riemannian manifold, TOHOKU MATH, 50(4), 1998, pp. 571-575
Citations number
11
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Mathematics
Journal title
TOHOKU MATHEMATICAL JOURNAL
ISSN journal
0040-8735 → ACNP
Volume
50
Issue
4
Year of publication
1998
Pages
571 - 575
Database
ISI
SICI code
0040-8735(199812)50:4<571:TDOACL>2.0.ZU;2-1
Abstract
In this note we prove that the Hausdorff dimension of a cut locus on a smoo th Riemannian manifold is an integer.