Distance functions, curvature and topology
We discuss some properties of the distance functions on Riemannian manifolds and we relate their behavior to the geometry of the manifolds. This leads to alternative proofs of some “classical” theorems connecting curvature and topology.
Authors
- Francesca Oronzio (ORCID: https://orcid.org/0009-0006-6597-0077)
- Carlo Mantegazza (ORCID: https://orcid.org/0000-0002-0658-0339)
Institutions
- Scuola Superiore Meridionale (IT)
- University of Naples Federico II (IT)
Publication Details
- Journal
- Nonlinear Analysis
- Published
- 2026-10-30
- DOI
- https://doi.org/10.1016/j.na.2026.114306
- Primary Topic
- Geometric Analysis and Curvature Flows
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Università degli Studi di Napoli Federico II
- Istituto Nazionale di Alta Matematica "Francesco Severi"