Harmonic vector fields on space forms

DOI10.1007/s10711-014-9992-0zbMath1321.53035arXiv1301.6075OpenAlexW2103632563MaRDI QIDQ2516433

Eric Loubeau, Chris M. Wood, Michele Benyounes

Publication date: 3 August 2015

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.6075

zbMATH Keywords

dipoleKilling fieldharmonic sectionconformal fieldconformal gradient fieldgeneralised Cheeger-Gromoll metricloxodromic fieldquadratic gradient field

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global Riemannian geometry, including pinching (53C20) Differential geometric aspects of harmonic maps (53C43)

Related Items (1)

Harmonic vector fields on pseudo-Riemannian manifolds

Cites Work

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• On the structure of complete manifolds of nonnegative curvature
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• Volumes of Vector Fields on Spheres
• Harmonic Mappings of Spheres
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• Curvature and Betti Numbers. (AM-32)
• On the energy of a unit vector field

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