Almost contact manifolds, connections with torsion and parallel spinors
| dc.creator | Friedrich, Thomas | |
| dc.creator | Ivanov, Stefan | |
| dc.date | 2001-11-12 | |
| dc.date | 2003-09-29 | |
| dc.date.accessioned | 2026-07-07T04:44:32Z | |
| dc.date.available | 2026-07-07T04:44:32Z | |
| dc.description | We classify locally homogeneous quasi-Sasakian manifolds in dimension five that admit a parallel spinor $ψ$ of algebraic type $F \cdot ψ= 0$ with respect to the unique connection $\nabla$ preserving the quasi-Sasakian structure and with totally skew-symmetric torsion. We introduce a certain conformal transformation of almost contact metric manifolds and discuss a link between them and the dilation function in 5-dimensional string theory. We find natural conditions implying conformal invariances of parallel spinors. We present topological obstructions to the existence of parallel spinors in the compact case. | |
| dc.description | Latex2e, 15 pages; Final version of the paper, the preliminary title has been "Almost contact manifolds and type II equations" | |
| dc.identifier | https://arxiv.org/abs/math/0111131 | |
| dc.identifier | http://arxiv.org/abs/math/0111131 | |
| dc.identifier | J. Reine Ang. Math. 559 (2003), 217-236 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62626 | |
| dc.subject | Differential Geometry | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | 53C25, 53C27, 53C55, 81T30 | |
| dc.title | Almost contact manifolds, connections with torsion and parallel spinors | |
| dc.type | text |