1 results
Non-branching RCD(0,N) Geodesic Spaces with Small Linear Diameter Growth have Finitely Generated Fundamental Groups
-
- Journal:
- Canadian Mathematical Bulletin / Volume 58 / Issue 4 / 01 December 2015
- Published online by Cambridge University Press:
- 20 November 2018, pp. 787-798
- Print publication:
- 01 December 2015
-
- Article
-
- You have access
- Export citation
-
In this paper, we generalize the finite generation result of Sormani to non-branching
$RCD\left( 0,\,N \right)$ geodesic spaces (and in particular, Alexandrov spaces) with full supportmeasures. This is a special case of the Milnor’s Conjecture for complete non-compact $RCD\left( 0,\,N \right)$ spaces. One of the key tools we use is the Abresch–Gromoll type excess estimates for non-smooth spaces obtained by Gigli–Mosconi.
