Harmonic maps into Lie groups and homogeneous spaces

DOI10.1016/S0926-2245(96)00045-9zbMath0882.53029OpenAlexW2086188228WikidataQ115337603 ScholiaQ115337603MaRDI QIDQ1360104

Michihiko Shoji, Yu-Jie Dai, Hajime Urakawa

Publication date: 11 February 1998

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0926-2245(96)00045-9

zbMATH Keywords

homogeneous spacesharmonic mapskinematic dexterityrobot mobility

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Kinematics of mechanisms and robots (70B15) Analysis on real and complex Lie groups (22E30) Global Riemannian geometry, including pinching (53C20) Harmonic maps, etc. (58E20)

Related Items (8)

Harmonic and biharmonic homomorphisms between Riemannian Lie groups ⋮ Some properties of \(F\)-harmonic maps ⋮ Density of bounded maps in Sobolev spaces into complete manifolds ⋮ Classification of harmonic homomorphisms between Riemannian three-dimensional unimodular Lie groups ⋮ Unnamed Item ⋮ \(F\)-harmonic maps as global maxima ⋮ Un-reduction in field theory ⋮ Biharmonic and harmonic homomorphisms between Riemannian three dimensional unimodular Lie groups

Cites Work

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• On representations and compactifications of symmetric Riemannian spaces
• A nonexistence theorem for harmonic maps with slowly divergent energy
• Geometry of maps between generalized flag manifolds
• Curvatures of left invariant metrics on Lie groups
• On vector bundle valued harmonic forms and automorphic forms on symmetric Riemannian manifolds
• A Report on Harmonic Maps

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