Work

Finsler currents

Year: 2024

Type: article

Abstract: We propose a slight variant of Ambrosio and Kirchheim’s definition of a metric current. We show that with this new definition it is possible to obtain certain volume functionals from Finsler geometry as mass measures of currents. As an application, we obtain a whole family of extendibly convex $$n$$ n -volume densities. This family includes the circumscribed Riemannian and the mass* volume densities.

Source: Calculus of Variations and Partial Differential Equations

DOI: 10.1007/s00526-024-02882-7

Author: Giuliano Basso

Institution: Max Planck Institute for Mathematics

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

OpenAlex ID: W4404664691