Work

Complete characterization of anisotropic geodesics in the Euclidean space

Year: 2026

Type: article

Abstract: We provide a characterization of absolutely continuous paths that minimize the anisotropic F –length between two points, where F is a lower semi–continuous, 1–homogeneous positive function defined on $${\mathbb {R}^{n}}$$ R n . The characterization is achieved by establishing a connection between the minimizing paths and the geometry of the anisotropic F –isoperimetric set.

Source: Geometriae Dedicata

DOI: 10.1007/s10711-026-01111-z

Author: Pietro Aldrigo

Institution: University of Bern

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,090

Funders: National Science Foundation, Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung