Lie groups and twistor spaces

DOI10.1215/S0012-7094-85-05213-5zbMath0582.58011WikidataQ115240185 ScholiaQ115240185MaRDI QIDQ1068399

Robert L. Bryant

Publication date: 1985

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

symmetric spaceharmonic mapstwistor theory

Mathematics Subject Classification ID

Harmonic maps, etc. (58E20) Differential geometry of symmetric spaces (53C35) Complex manifolds (32Q99)

Related Items

Group actions and deformations for harmonic maps into symmetric spaces, Nijenhuis tensors and Lie algebras, Isotropic geometry and twistors in higher dimensions. I. The generalized Klein correspondence and spinor flags in even dimensions, HARMONIC MAPS AND TWISTORIAL STRUCTURES, The dimension and structure of the space of harmonic 2-spheres in the \(m\)-sphere, Linear almost complex structures on \(S^ 6\), Conformal immersions of compact Riemann surfaces into the 2n-sphere (n ≥ 2), Instantons in six dimensions and twistors, Harmonic tori in de Sitter spaces \(S^{2n}_1\), Pfaffian systems from twistor fibrations, Harmonic maps from compact Kähler manifolds to exceptional hyperbolic spaces, Holomorphic curves and Toda systems, Plücker formulae for the orthogonal group, Invariant Hermitian structures and variational aspects of a family of holomorphic curves on flag manifolds, Homogeneous domains in the space of complex structures, Totally real totally geodesic submanifolds of compact 3-symmetric spaces, Harmonic morphisms between Weyl spaces and twistorial maps. II, On the stability of harmonic maps under the homogeneous Ricci flow, \(G\)-structures of twistor type and their twistor spaces, Equi-harmonic maps and Plücker formulae for horizontal-holomorphic curves on flag manifolds, Curvature properties of twistor spaces of quaternionic Kähler manifolds, Geometry of G₂ orbits and isoparametric hypersurfaces, Almost complex structures on the orthogonal twistor bundle, Normalized potentials of minimal surfaces in spheres, Homogeneous \((Z(n), \text{SO}(2n, \mathbb C))\)-geometries and uniformization, Instantons on the six-sphere and twistors

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Submanifolds and special structures on the octonians
• Harmonic maps from surfaces to complex projective spaces
• Harmonic maps from \(S^ 2\) to \(G_{2,4}\)
• Conformal and minimal immersions of compact surfaces into the 4-sphere
• An application of gauge theory to four dimensional topology
• The Construction of a Class of Harmonic Maps to Quaternionic Projective Space
• On the Construction of Harmonic Maps into a Grassmannian
• Self-duality in four-dimensional Riemannian geometry
• A Report on Harmonic Maps
• Twistor Algebra
• Introduction to Lie Algebras and Representation Theory
• Les fonction automorphes de plusieurs variables complexes