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38 citations
- Center for Theoretical PhysicsPL25 papers
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math.DG2026★ 1 cited
Carrollian Lie Algebroids: Taming Singular Carrollian Geometries
Andrew James Bruce
Developments in Carrollian gravity and holography necessitate the use of singular Carroll vector fields, a feature that cannot be accommodated within standard Carrollian geometry.…
math.DG2026
Carrollian -bundles: Connections and Beyond
Andrew James Bruce
We propose an approach to Carrollian geometry using principal -bundles ($\mathbb{R}^\times := \matthbb{R} \setminus \{0\}$) equipped with a degenerate metric who…
math.DG2026
A Darboux classification of homogeneous Pfaffian forms on graded manifolds
Janusz Grabowski, Asier López-Gordón
We study the local classification problem for differential Pfaffian forms on a supermanifold that are homogeneous with respect to a given homogeneity structure on . The most…