The Interaction of Curvature and Topology

Snapshots of modern mathematics from Oberwolfach

The Interaction of Curvature and Topology

In this snapshot we will outline the mathematical notion of curvature by means of comparison geometry. We will then try to address questions as the ways in which curvature might influence the topology of a space, and vice versa.

If you are interested in translating this Snapshot, please contact us at

Mathematical subjects

Geometry and Topology


Jan-Bernhard Kordaß


DOI (Digital Object Identifier)


Download PDF


snapshots: overview

Mathematical subjects

Algebra and Number Theory
Didactics and Education
Discrete Mathematics and Foundations
Geometry and Topology
Numerics and Scientific Computing
Probability Theory and Statistics

Connections to other fields

Chemistry and Earth Science
Computer Science
Engineering and Technology
Humanities and Social Sciences
Life Science
Reflections on Mathematics

These icons are available under the CC BY-SA 4.0 license. Please feel free to use them to classify your own content.
The vector icons can be downloaded here.