Cocompact CAT(0) spaces are almost geodesically complete

By P. Ontaneda. 2003

46 citations recorded by the source corpus.

Abstract We prove that, under mild conditions, a cocompact CAT(0) space is almost geodesically complete.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/5d1eb6ab5fcee88bd5d142c83d3f1e2544a67cfc

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Koichi Nagano
2. A. Lytchak
3. P. Caprace

In Mathematical Physics

1. Koichi Nagano
2. A. Lytchak
3. Shin-ichi Ohta
4. S. Wenger

Citations in the corpus

• Geodesically complete spaces with an upper curvature bound (2018, background): “Convexity of all small balls in spaces with upper curvature bounds imply that any space X with an upper curvature bound is an absolute neighborhood retract, see [Ont05], [Kra11].”