Vector fields with big and small volume on the 2-sphere-Reference-Cited by-同舟云学术

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Vector fields with big and small volume on the 2-sphere

Published:2023-07-01 Issue:2 Volume:53 Page:
ISSN:0018-2079
Container-title:Hiroshima Mathematical Journal
language:
Short-container-title:Hiroshima Math. J.

Author:

Albuquerque Rui¹

Affiliation:

1. Centro de Investigação em Matemática e Aplicações Rua Romão Ramalho, 59, 671-7000 Évora, Portugal https://home.uevora.pt/~rpa/

Publisher

Hiroshima University - Department of Mathematics

Subject

Geometry and Topology,Algebra and Number Theory,Analysis

Reference11 articles.

1. [1] R. Albuquerque, Calibrations for minimal volume vector fields in dimension $2$ , (2021), 7 pages.

2. [2] V. Borrelli, O. Gil-Medrano, A critical radius for unit Hopf vector fields on spheres, Math. Ann. 334 (4) (2006), 731–751.

3. [3] V. Borrelli, O. Gil-Medrano, Area-minimizing vector fields on round $2$ -spheres, J. Reine Angew. Math. 640 (2010), 85–99.

4. [4] F. Brito, P. Chacón and D. Johnson, Unit vector fields on antipodally punctured spheres: big index, big volume, Bull. Soc. Math. France 136.1 (2008), 147–157.

5. [5] F. Brito, J. Conrado, I. Gonçalves and A. Nicoli, Area minimizing unit vector fields on antipodally punctured unit $2$ -sphere, Comptes Rendus Math. 359, No. 10 (2021), 1225–1232.

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Calibrations for the Volume of Unit Vector Fields in Dimension 2;Results in Mathematics;2023-03-30

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