Lower bounds on the energy of maps

DOI10.1215/S0012-7094-87-05544-XzbMath0634.53042MaRDI QIDQ1096897

Christopher B. Croke

Publication date: 1987

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

energyclosed geodesicenergy-minimizing map

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (3)

On the systole of the sphere in the proximity of the standard metric ⋮ Smooth maps minimizing the energy and the calibrated geometry ⋮ Energy-minimizing maps from manifolds with nonnegative Ricci curvature

Cites Work

• The filling radius of two-point homogeneous spaces
• Curvature free volume estimates
• Filling Riemannian manifolds
• Infima of energy functionals in homotopy classes of mappings
• Volume et rayon d'injectivite dans les variétés Riemanniennes de dimension 3
• Lectures on geodesics in Riemannian geometry
• Stability of Harmonic Maps and Eigenvalues of the Laplacian
• Some isoperimetric inequalities and eigenvalue estimates
• The Second Variation Formula for Harmonic Mappings
• Harmonic Mappings of Riemannian Manifolds

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