Spin(9) and almost complex structures on 16-dimensional manifolds
From MaRDI portal
Publication:664371
DOI10.1007/s10455-011-9285-xzbMath1258.53047arXiv1105.5318OpenAlexW2054162377MaRDI QIDQ664371
Maurizio Parton, Paolo Piccinni
Publication date: 1 March 2012
Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1105.5318
Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Spin and Spin({}^c) geometry (53C27) (G)-structures (53C10)
Related Items
On some Grassmannians carrying an even Clifford structure ⋮ Octonion-valued forms and the canonical 8-form on Riemannian manifolds with a Spin(9)-structure ⋮ \(\mathrm{Spin}(9)\) geometry of the octonionic Hopf fibration ⋮ On a characteristic of the first eigenvalue of the Dirac operator on compact spin symmetric spaces with a Kähler or quaternion-Kähler structure ⋮ Spheres with more than 7 vector fields: All the fault of \(\mathrm{Spin}(9)\) ⋮ \(\operatorname{Spin}(7)\)-structure equation and the vector elliptic Liouville equation ⋮ The even Clifford structure of the fourth ⋮ Clifford systems, Clifford structures, and their canonical differential forms ⋮ Twistor spaces of Riemannian manifolds with even Clifford structures ⋮ On the explicit expressions of the canonical 8-form on Riemannian manifolds with \(\mathrm{Spin}(9)\) holonomy ⋮ Generalized almost even-Clifford manifolds and their twistor spaces ⋮ The role of \(\mathrm{Spin}(9)\) in octonionic geometry ⋮ An even Clifford diamond ⋮ Parallelizations on products of spheres and octonionic geometry ⋮ Topological twists of supersymmetric algebras of observables ⋮ Spinorially twisted spin structures. II: Twisted pure spinors, special Riemannian holonomy and Clifford monopoles
Cites Work
- Quaternionic structures on a manifold and subordinated structures
- Weak Spin(9)-structures on 16-dimensional Riemannian manifolds
- Calibrated geometries
- Archimedean superrigidity and hyperbolic geometry
- Closed regular curves and the fundamental form on the projective spaces
- Spin(9)-structures and connections with totally skew-symmetric torsion.
- The geometry of the Hopf fibrations
- Spheres with more than 7 vector fields: All the fault of \(\mathrm{Spin}(9)\)
- THE CANONICAL EIGHT-FORM ON MANIFOLDS WITH HOLONOMY GROUP SPIN(9)
- Characteristic Classes and Homogeneous Spaces, I
- Submanifolds in Hyper-Kahler Geometry
- The octonions
- Du côté de chez Pu
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item