A note on invariant description of \(\mathrm{SU}(2)\)-structures in dimension 5
From MaRDI portal
Publication:6143037
DOI10.1007/s00025-023-02042-xarXiv2108.01937OpenAlexW4388794360MaRDI QIDQ6143037
Publication date: 4 January 2024
Published in: Results in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2108.01937
Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Spin and Spin({}^c) geometry (53C27) Clifford algebras, spinors (15A66) Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) (57R15)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Harmonic almost contact structures via the intrinsic torsion
- Spinorial description of \(\mathrm{SU}(3)\)- and \(\mathrm{G}_2\)-manifolds
- A classification of almost contact metric manifolds
- Torsion of \(SU(2)\)-structures and Ricci curvature in dimension 5
- Parallel spinors and connections with skew-symmetric torsion in string theory.
- Connections on naturally reductive spaces, their Dirac operator and homogeneous models in string theory
- The Einstein-Dirac equation on Riemannian spin manifolds
- Special almost Hermitian geometry
- Generalized Killing spinors in dimension 5
- Spinorial classification of Spin(7) structures