Abstract
AbstractWe show that locally homogeneous $$ C^0$$
C
0
-Riemannian manifolds are smooth.
Funder
Karlsruher Institut für Technologie (KIT)
Publisher
Springer Science and Business Media LLC
Subject
Geometry and Topology,Algebra and Number Theory
Reference33 articles.
1. Berestovskiĭ, V.N.: Homogeneous manifolds with an intrinsic metric. II, Sibirsk. Mat. Zh. 30 no. 2 14–28, 225. (1989) MR997464
2. Böhm, C., Lafuente, R., Miles, S.: Optimal curvature estimates for homogeneous ricci flows. International Mathematics Research Notices 2019(14), 4431–4468 (2019)
3. Bredon, G.E.: Introduction to compact transformation groups Academic Press, New York-London. Pure and Applied Mathematics, Vol. 46 (1972) MR0413144
4. Burtscher, A.Y.: Length structures on manifolds with continuous Riemannian. New York J. Math., 21 273–296 (2015) MR3358543
5. Calabi, E., Hartman, P.: On the smoothness of isometries, Duke Math. J. 37 741–750 (1970) MR283727