Energy-minimizing maps from manifolds with nonnegative Ricci curvature

DOI10.1142/S0219199719500834zbMath1458.53048arXiv1805.07701WikidataQ125838365 ScholiaQ125838365MaRDI QIDQ5152071

James Dibble

Publication date: 18 February 2021

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.07701

zbMATH Keywords

nonnegative Ricci curvaturehomothetyno conjugate pointstotally geodesic mapenergy-minimizing mapasymptotic norm

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Differential geometric aspects of harmonic maps (53C43) Rigidity results (53C24) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Cites Work

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• Curvature free volume estimates
• Bieberbach groups and flat manifolds
• Lower bounds on the energy of maps
• Manifolds without conjugate points
• The splitting theorem for manifolds of nonnegative Ricci curvature
• On the structure of complete manifolds of nonnegative curvature
• FINSLER LAPLACIANS AND MINIMAL-ENERGY MAPS
• On Wallis' Formula
• On Gamma Function Inequalities
• Totally geodesic maps into manifolds with no focal points
• On Homotopic Harmonic Maps
• Harmonic Mappings of Riemannian Manifolds
• An Inequality between Energy and Intersection