Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4606405 | Differential Geometry and its Applications | 2009 | 15 Pages |
Abstract
Following the approach of Bryant [R. Bryant, Some remarks on G2-structures, in: S. Akbulut, T. Önder, R.J. Stern (Eds.), Proceeding of Gökova Geometry-Topology Conference 2005, International Press, 2006], we study the intrinsic torsion of an SU(2)-structure on a 5-dimensional manifold deriving an explicit expression for the Ricci and the scalar curvature in terms of torsion forms and its derivative. As a consequence of this formula we prove that the α-Einstein condition forces some special SU(2)-structures to be Sasaki–Einstein.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Lucio Bedulli, Luigi Vezzoni,