Energy and volume of vector fields on spherical domains

2011/01/27 by Fabiano Brito, Brito, Fabiano G. B., André Luís Gomes +3 · 1 citation
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1101.5259

openalex publication_date 2011/01/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present in this paper a \boundary version" for theorems about minimality of volume and energy functionals on a spherical domain of threedimensional Euclidean sphere.

Cited by

• Harmonic unit vector fields on 3-manifolds

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