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On the Equivalence of Generalized Ricci Curvatures

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abstract

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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2025 1

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Gauged Extended Field Theory and Generalised Cartan Geometry

hep-th · 2025-09-04 · conditional · novelty 6.0

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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  • Gauged Extended Field Theory and Generalised Cartan Geometry hep-th · 2025-09-04 · conditional · none · ref 73 · internal anchor

    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.