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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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← all fields·2 papers on “lie groups” in Differential Geometry · 1 week

On the structure of

2

-step nilpotent Lorentzian naturally reductive Lie groupsmath.DG

Study on special Lie groups with Lorentzian metrics.

problem Characterize structure of

2

-step nilpotent Lorentzian naturally reductive Lie groups.

method Develop framework for naturally reductive Lie groups, extend to Lorentzian context, analyze degenerate and non-degenerate cases.

result Complete structural description of naturally reductive

2

-step Lorentzian nilpotent Lie groups.

Lie groups Lorentzian metrics Naturally reductive Nilpotent Isotropic ideal

2026-07-20abs ↗pdf ↗

On non-positive Weyl connection on Lie groupsmath.DG

Paper finds non-positive Weyl connections on Lie groups, confirming a conjecture.

problem Finding non-positive invariant Weyl connections on Lie groups.

method Investigation of completely solvable Lie groups, focusing on SOL group.

result Only SOL admits non-positive Weyl connections, confirming a conjecture.

Weyl connections Lie groups non-positive completely solvable SOL group

2026-07-19abs ↗pdf ↗