Harmonic sections of homogeneous fibre bundles.
From MaRDI portal
Publication:1410599
DOI10.1016/S0926-2245(03)00021-4zbMath1058.53053OpenAlexW2041476095WikidataQ115338032 ScholiaQ115338032MaRDI QIDQ1410599
Publication date: 14 October 2003
Published in: Differential Geometry and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0926-2245(03)00021-4
Differential geometry of homogeneous manifolds (53C30) Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)
Related Items
Energy of generalized distributions ⋮ An inclusive immersion into a quaternionic manifold and its invariants ⋮ Harmonic almost contact structures ⋮ Harmonic flow of geometric structures ⋮ Elliptic Integrable Systems: a Comprehensive Geometric Interpretation ⋮ Section sigma models coupled to symplectic duality bundles on Lorentzian four-manifolds ⋮ Harmonicity and minimality of complex and quaternionic radial foliations ⋮ Harmonic almost contact structures via the intrinsic torsion ⋮ Harmonicity and minimality of oriented distributions ⋮ Examples of minimal \(G\)-structures ⋮ On the stability of invariant almost complex structures on flag manifolds ⋮ Harmonic G-structures ⋮ Geometry of \(G\)-structures via the intrinsic torsion ⋮ Surfaces in four-dimensional hyperkähler manifolds whose twistor lifts are harmonic sections ⋮ Twistors, 4-symmetric spaces and integrable systems ⋮ Harmonic geometric structures: the general theory and the cases of almost complex and almost contact structures ⋮ Harmonic \(SU(3)\)- and \(G_2\)-structures via spinors
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Twistor theory for Riemannian symmetric spaces. With applications to harmonic maps of Riemann surfaces
- Unit vector fields on spheres, which are harmonic maps
- Harmonic sections and equivariant harmonic maps
- Energy and volume of unit vector fields on three-dimensional Riemannian manifolds.
- Harmonic almost-complex structures on twistor spaces
- Riemannian manifolds with geodesic symmetries of order 3
- The fundamental equations of a submersion
- Totally geodesic maps
- Nearly Kähler manifolds
- On the Geometry of the Tangent Bundle.
- A Sufficient Condition that a Mapping of Riemannian Manifolds be a Fibre Bundle
- On the energy of unit vector fields with isolated singularities
- Curvature of the Induced Riemannian Metric on the Tangent Bundle of a Riemannian Manifold.
- The energy of unit vector fields on the 3-sphere
- Minimality and harmonicity for Hopf vector fields