Complete characterization of anisotropic geodesics in the Euclidean space
Abstract
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.
Fields of Study & Subjects
Geometric Analysis and Curvature Flows
Point processes and geometric inequalities
Nonlinear Partial Differential Equations
Publication details
- Journal / source
- Geometriae Dedicata
- Publisher
- Springer Science and Business Media LLC
- Volume
- 220
- Issue
- 5
- Pages
- 60–60
- Publication date
- 10 September 2026
- Language
- EN