2019/01/30 by Yicao Wang
Mathematics · Physics and Astronomy · #Curvature #Differential geometry #Geometry #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Pure mathematics #Scalar (mathematics) #Scalar curvature #Spinor #Symplectic geometry #Type (biology) #math.SG #msc:53D05 #msc:53D18 #msc:53D20
paper · pdf · doi:10.1016/j.geomphys.2020.103634
A continuation of the preprints arXiv:1810.08265v1 and arXiv:1811.06848v1. 38 pages
openalex created_date 2018/11/29 · arxiv created 2019/01/30 · openalex publication_date 2020/03/03 · arxiv updated 2020/04/22 · openalex updated_date 2026/08/05
The paper clarifies some subtle points surrounding the definition of scalar curvature in generalized Kahler (GK) geometry. We have solved an open problem in GK geometry of symplectic type posed by R. Goto \citeGo1 on relating the scalar curvature defined in terms of generalized pure spinors directly to the underlying biHermitian structure. In particular, we apply this solution to toric GK geometry of symplectic type and prove that the scalar curvature suggested in this setting by L. Boulanger \citeBou coincides with Goto's definition.