A note on the infimum of energy of unit vector fields on a compact Riemannian manifold

DOI10.1007/s12220-008-9046-7zbMath1149.58007OpenAlexW2038972163WikidataQ115376923 ScholiaQ115376923MaRDI QIDQ950697

Giovanni S. Nunes, Jaime Bruck Ripoll

Publication date: 27 October 2008

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-008-9046-7

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)

Cites Work

• Exceptional orbits of highest dimension
• Total bending of flows with mean curvature correction
• The infimum of the energy of unit vector fields on odd-dimensional spheres
• Total bending of vector fields on Riemannian manifolds
• The energy of Hopf vector fields
• On the energy of unit vector fields with isolated singularities
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