Calculus of Variations and Geometric Measure Theory

C. Mantegazza - F. Oronzio

Distance Functions, Curvature and Topology

created by root on 19 Feb 2026

[BibTeX]

Preprint

Inserted: 19 feb 2026
Last Updated: 19 feb 2026

Year: 2026

Abstract:

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.


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