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On the Equivalence of Generalized Ricci Curvatures
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We prove the equivalence between the several notions of generalized Ricci curvature found in the literature. As an application, we characterize when the total generalized Ricci tensor is symmetric.
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Cited by 3 Pith papers
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Exterior Generalised Geometry
This paper develops a submanifold calculus for exact Courant algebroids: generalised second fundamental form, Gauss-Codazzi equations, constraint equations, and a fundamental theorem for hypersurfaces.
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Gauged Extended Field Theory and Generalised Cartan Geometry
A systematic Cartan-geometric construction of linearised torsion and curvature hierarchies for generalised geometries with global duality group G and local gauge group H, realised via brane current algebras.
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Courant Algebroid Relations, T-Dualities and Generalised Ricci Flow
Using Courant algebroid relations, the authors prove that geometric T-duality maps solutions of generalized Ricci flow to solutions of generalized Ricci flow, preserving the generalized string background equations.
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