Volume minimising unit vector fields on three dimensional space forms of positive curvature

DOI10.1007/s00526-021-02177-1OpenAlexW4210675784WikidataQ114017996 ScholiaQ114017996MaRDI QIDQ2113317

Olga Gil-Medrano

Publication date: 14 March 2022

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-021-02177-1

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global Riemannian geometry, including pinching (53C20) Rigidity results (53C24)

Related Items (1)

Gauss maps of harmonic and minimal great circle fibrations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the volume of a unit vector field on the three-sphere
• On the spectra of Laplace operator on \(\Lambda^*(S^n)\)
• Relationship between volume and energy of vector fields.
• Total bending of flows with mean curvature correction
• Minimal unit vector fields
• On the volume of unit vector fields on spaces of constant sectional curvature
• A critical radius for unit Hopf vector fields on spheres
• Second variation of volume and energy of vector fields. Stability of Hopf vector fields

This page was built for publication: Volume minimising unit vector fields on three dimensional space forms of positive curvature