The Berger-Ebin theorem and harmonic maps and flows

DOI10.3103/S1066369X12040093zbMath1271.53062OpenAlexW2095209701MaRDI QIDQ1759269

Sergey E. Stepanov

Publication date: 20 November 2012

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x12040093

zbMATH Keywords

Riemannian manifoldscalar curvatureRicci tensorinfinitesimal harmonic transformationBerger-Ebin theorem

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20)

Related Items (2)

Harmonic forms on principal bundles ⋮ Spectrum of the Lichnerowicz Laplacians on the spheres and the real projective spaces

Cites Work

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• Ricci solitons: The equation point of view
• A note on Ricci solitons
• Second fundamental form of a map
• Geometry of infinitesimal harmonic transformations
• On the global theory of some classes of mappings
• Some decompositions of the space of symmetric tensors on a Riemannian manifolds
• Twistor spaces and harmonic maps
• Seminar on Atiyah-Singer Index Theorem. (AM-57)

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