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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

UNIT VECTOR FIELDS ON ANTIPODALLY PUNCTURED SPHERES: BIG INDEX, BIG VOLUME

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Author(s):
Brito, Fabiano G. B. [1] ; Chacon, Pablo M. [2] ; Johnson, David L. [3]
Total Authors: 3
Affiliation:
[1] Univ Sao Paulo, Dpto Matemat, Inst Matemat & Estatist, BR-05508090 Sao Paulo - Brazil
[2] Univ Salamanca, Dept Matemat, E-37008 Salamanca - Spain
[3] Lehigh Univ, Dept Math, Bethlehem, PA 18015 - USA
Total Affiliations: 3
Document type: Journal article
Source: BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE; v. 136, n. 1, p. 147-157, 2008.
Web of Science Citations: 1
Abstract

We establish in this paper a lower bound for the volume of a unit vector field (v) over right arrow defined ou S(n) \textbackslash{} [+/-x], n = 2,3. This lower bound is related to the sum of the absolute values of the indices of (v) over right arrow at x and -x. (AU)

FAPESP's process: 99/02684-5 - Geometry and Topology of Riemannian Manifolds
Grantee:Fabiano Gustavo Braga Brito
Support Opportunities: Research Projects - Thematic Grants