A hypercomplex Stiefel manifold

DOI10.1016/0926-2245(96)89145-5zbMath0860.53046OpenAlexW2053203235WikidataQ115362486 ScholiaQ115362486MaRDI QIDQ1917371

Fiammetta Battaglia

Publication date: 21 April 1997

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

Full work available at URL: https://doi.org/10.1016/0926-2245(96)89145-5

zbMATH Keywords

moment mapquaternion-Kähler manifoldhypercomplex manifold

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Other complex differential geometry (53C56)

Related Items

ON SOME MOMENT MAPS AND INDUCED HOPF BUNDLES IN THE QUATERNIONIC PROJECTIVE SPACE, Hypercomplex structures on Stiefel manifolds, Properly discontinuous actions on Hilbert manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The hypercomplex quotient and the quaternionic quotient
• Compact hypercomplex and quaternionic manifolds
• HyperKähler and quaternionic Kähler geometry
• A generalization of the momentum mapping construction for quaternionic Kähler manifolds
• Hyperkähler metrics and supersymmetry
• Quaternionic reduction and quaternionic orbifolds
• Quaternionic Kaehler manifolds
• Yang-Mills connections on quaternionic Kähler quotients
• Reduction of symplectic manifolds with symmetry
• A note on manifolds whose holonomy group is a subgroup of Sp(n) Sp(1)
• Holonomy and the Lie Algebra of Infinitesimal Motions of a Riemannian Manifold
• A Note on Hyperhermitian Four-Manifolds