Toric generalized Kaehler structures. III
Abstract
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 Go1 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 Bou coincides with Goto's definition.
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