Unit vector fields on antipodally punctured spheres: big index, big volume

DOI10.24033/BSMF.2551zbMath1158.53023OpenAlexW2257241123MaRDI QIDQ3544883

Pablo M. Chacón, David L. Johnson, Fabiano Gustavo Braga Brito

Publication date: 8 December 2008

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://smf4.emath.fr/en/Publications/Bulletin/136/html/smf_bull_136_147-157.html

zbMATH Keywords

volumesingularitiesindexUnit vector fields

Mathematics Subject Classification ID

Vector fields, frame fields in differential topology (57R25) Global Riemannian geometry, including pinching (53C20) Foliations (differential geometric aspects) (53C12)

Related Items (5)

Vector fields with big and small volume on the \(2\)-sphere ⋮ Minimally immersed Klein bottles in the unit tangent bundle of the unit 2-sphere arising from area-minimizing unit vector fields on \(\mathbb{S}^2\backslash \{ N,S\}\) ⋮ Calibrations for the volume of unit vector fields in dimension 2 ⋮ Poincaré index and the volume functional of unit vector fields on punctured spheres ⋮ Area minimizing unit vector fields on antipodally punctured unit 2-sphere

Cites Work

• On the volume of a unit vector field on the three-sphere
• Total bending of flows with mean curvature correction
• Characteristic forms and geometric invariants
• On the volume of unit vector fields on spaces of constant sectional curvature
• A critical radius for unit Hopf vector fields on spheres
• A topological minorization for the volume of vector fields on 5-manifolds
• On the curvatura integra in a Riemannian manifold
• Volumes of Vector Fields on Spheres
• Second variation of volume and energy of vector fields. Stability of Hopf vector fields

This page was built for publication: Unit vector fields on antipodally punctured spheres: big index, big volume