Lower bounds on volumes of vector fields

DOI10.1007/BF01190122zbMath0726.58018OpenAlexW2033303259MaRDI QIDQ804031

Alexander G. Reznikov

Publication date: 1992

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01190122

zbMATH Keywords

geodesic flowslower boundsvolumes of vector fields on hypersurfaces of euclidean space

Mathematics Subject Classification ID

Variational inequalities (global problems) in infinite-dimensional spaces (58E35) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (4)

Left-invariant minimal unit vector fields on the solvable Lie group ⋮ Special functions on the sphere with applications to minimal surfaces ⋮ Poincaré index and the volume functional of unit vector fields on punctured spheres ⋮ A topological lower bound for the energy of a unit vector field on a closed Euclidean hypersurface

Cites Work

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• Blaschke manifolds of the projective plane type
• On the volume of a unit vector field on the three-sphere
• Volumes of Vector Fields on Spheres
• Volumes of Flows

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