Torsion of SU(2)-structures and Ricci curvature in dimension 5

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• 作者：Lucio Bedulli ; Luigi Vezzoni
• 刊名：Differential Geometry and its Applications
• 出版年：2009
• 出版时间：February 2009
• 年：2009
• 卷：27
• 期：1
• 页码：85-99
• 全文大小：254 K

文摘

Following the approach of Bryant [R. Bryant, Some remarks on Gb>2b>-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 b1;-Einstein condition forces some special SU(2)-structures to be Sasaki–Einstein.