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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,742 papers · 148 categories

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0111 · Jan 201419922001200920172026
2 results for “metacurvature”
On the Riemannian Geometry of tangent Poisson-Lie groupmath.DG

The paper studies geometric properties of tangent Poisson-Lie groups.

problem Geometric properties of tangent Poisson-Lie groups.
method Expressed Levi-Civita connection, curvature, and metacurvature of tangent Poisson-Lie groups in terms of the base group.
result Proved that the space of differential forms on a Poisson-Lie group is a differential graded Poisson algebra if and only if the space on its tangent Poisson-Lie group is.
Poisson-Lie groupstangent Poisson-Lie groupsLevi-Civita connectioncurvaturemetacurvature
2020-01-07abs ↗pdf ↗
On the local structure of noncommutative deformationsmath.DG

Let (M,π,D)(M,π,\mathcal{D}) be a Poisson manifold endowed with a flat, torsion-free contravariant connection. We show that if D\mathcal{D} is an F\mathcal{F}-connection then there exists a tensor T\mathbf{T} such that DT\mathcal{D}\mathbf{T} is the metacurvature tensor introduced by E. Hawkins in his work on noncommutat…

2014-01-02abs ↗pdf ↗