THE CANONICAL EIGHT-FORM ON MANIFOLDS WITH HOLONOMY GROUP SPIN(9)
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Publication:3067238
DOI10.1142/S0219887810004786zbMath1206.53056arXiv0911.1079OpenAlexW3100182770MaRDI QIDQ3067238
Ihor V. Mykytyuk, Marco Castrillón López, Pedro Martínez Gadea
Publication date: 20 January 2011
Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0911.1079
basic spin representation of Spin(9)canonical 8-form on a Spin(9)-manifoldcurvature tensor of the Cayley planes
Related Items (7)
Octonion-valued forms and the canonical 8-form on Riemannian manifolds with a Spin(9)-structure ⋮ On a characteristic of the first eigenvalue of the Dirac operator on compact spin symmetric spaces with a Kähler or quaternion-Kähler structure ⋮ Spin(9) and almost complex structures on 16-dimensional manifolds ⋮ On the explicit expressions of the canonical 8-form on Riemannian manifolds with \(\mathrm{Spin}(9)\) holonomy ⋮ The role of \(\mathrm{Spin}(9)\) in octonionic geometry ⋮ Parallelizations on products of spheres and octonionic geometry ⋮ Invariant Ricci-flat metrics of cohomogeneity one with Wallach spaces as principal orbits
Cites Work
- Weak Spin(9)-structures on 16-dimensional Riemannian manifolds
- Sur la géométrie différentielle des \(G\)-structures
- (Semi-)Riemannian geometry of (para-)octonionic projective planes
- \(\mathbb{O} P^2\) bundles in \(M\)-theory
- Spectrum of the Laplacian on manifolds with Spin(9) holonomy
- Closed regular curves and the fundamental form on the projective spaces
- Spin(9)-structures and connections with totally skew-symmetric torsion.
- The Lie triple system of the symmetric space \(F_4/ \operatorname{Spin}(9)\).
- Géométrie du plan projectif des octaves de Cayley. (The geometry of the projective plane over the octaves of Cayley)
- Classification of material \(G\)-structures
- Sur les groupes d'holonomie homogènes de variétés à connexion affine et des variétés riemanniennes
- TERNARY AND NON-ASSOCIATIVE STRUCTURES
- Topology of quaternionic manifolds
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