ON SOME MOMENT MAPS AND INDUCED HOPF BUNDLES IN THE QUATERNIONIC PROJECTIVE SPACE

DOI10.1142/S0129167X00000489zbMath1005.53020arXivmath/0001066MaRDI QIDQ4521175

Liviu Ornea, Paolo Piccinni

Publication date: 2 March 2003

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0001066

zbMATH Keywords

complex structuremoment mapSasakian structurefocal set3-Sasakian structureinduced Hopf bundleQuaternion Kähler manifold

Mathematics Subject Classification ID

Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Momentum maps; symplectic reduction (53D20) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (1)

Tetraplectic structures, tri-momentum maps, and quaternionic flag manifolds

Cites Work

• Compact hypercomplex and quaternionic manifolds
• A generalization of the momentum mapping construction for quaternionic Kähler manifolds
• Quaternionic reduction and quaternionic orbifolds
• Quaternionic Kaehler manifolds
• Focal sets of submanifolds
• Compact hyperhermitian-Weyl and quaternion Hermitian-Weyl manifolds
• Complex structures on quaternionic manifolds
• The geometry of positive locally quaternion Kähler manifolds
• Betti numbers of 3-Sasakian manifolds
• Hypercomplex structures on Stiefel manifolds
• A hypercomplex Stiefel manifold
• On focal elements and the spheres
• The Twistor Space of a 3-Sasakian Manifold
• Circle Actions and Morse Theory on Quaternion-Kähler Manifolds
• 𝑆¹-quotients of quaternion-Kähler manifolds
• Locally conformal Kähler structures in quaternionic geometry

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