THE IDENTIFICATION OF CONFORMAL HYPERCOMPLEX AND QUATERNIONIC MANIFOLDS

DOI10.1142/S0219887806001521zbMath1122.53024arXivmath/0512084OpenAlexW3101885530MaRDI QIDQ3426879

Eric A. Bergshoeff, Antoine Van Proeyen, Stefan Vandoren

Publication date: 13 March 2007

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0512084

zbMATH Keywords

hyper-Kähler manifoldquaternionic manifoldhypercomplex manifold

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26)

Cites Work

• Quaternionic structures on a manifold and subordinated structures
• Special geometry
• The map between conformal hypercomplex/hyper-Kähler and quaternionic(-Kähler) geometry
• HyperKähler and quaternionic Kähler geometry
• Hypercomplex structures associated to quaternionic manifolds
• Special Kähler manifolds
• What is special Kähler geometry?
• Flows on quaternionic-Kähler and very special real manifolds
• Superconformal hypermultiplets
• Special complex manifolds
• N = 2 supergravity in five dimensions revisited
• Special geometry without special coordinates
• Geometry of the scalar couplings in N=2 supergravity models
• CLASSIFICATION OF QUATERNIONIC SPACES WITH A TRANSITIVE SOLVABLE GROUP OF MOTIONS