Area minimizing unit vector fields on antipodally punctured unit 2-sphere-Reference-Cited by-同舟云学术

Area minimizing unit vector fields on antipodally punctured unit 2-sphere

Published:2022-01-04 Issue:10 Volume:359 Page:1225-1232
ISSN:1778-3569
Container-title:Comptes Rendus. Mathématique
language:en
Short-container-title:

Author:

Brito Fabiano G. B.,Conrado Jackeline,Gonçalves Icaro,Nicoli Adriana V.

Publisher

Cellule MathDoc/CEDRAM

Subject

General Mathematics

Link

https://comptes-rendus.academie-sciences.fr/mathematique/item/10.5802/crmath.258.pdf

Reference7 articles.

1. Area minimizing vector fields on round 2-spheres;['Borrelli, Vincent', 'Gil-Medrano, Olga'];J. Reine Angew. Math.,2010

2. Unit vector fields on antipodally punctured spheres: big index, big volume;['Brito, Fabiano G. B.', 'Chacón, Pablo M.', 'Johnson, David L.'];Bull. Soc. Math. Fr.,2008

3. Poincaré index and the volume functional of unit vector fields on punctured spheres;['Brito, Fabiano G. B.', 'Gomes, André O.', 'Gonçalves, Icaro'];Manuscr. Math.,2019

4. Total curvature and volume of foliations on the sphere $𝕊^{2}$ ;['Fawaz, Amine'];Cent. Eur. J. Math.,2009

5. On the volume of a unit vector field on the three-sphere;['Gluck, Herman', 'Ziller, Wolfgang'];Comment. Math. Helv.,1986

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1. Vector fields with big and small volume on the 2-sphere;Hiroshima Mathematical Journal;2023-07-01

2. Minimally Immersed Klein Bottles in the Unit Tangent Bundle of the Unit 2-Sphere Arising from Area-Minimizing Unit Vector Fields on $${\mathbb {S}}^2\backslash \{N,S\}$$;The Journal of Geometric Analysis;2023-02-28

3. Vector Fields of Constant Length on Punctured Spheres;The Volume of Vector Fields on Riemannian Manifolds;2023

4. The Volume of Vector Fields on Riemannian Manifolds;Lecture Notes in Mathematics;2023