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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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1 result for “observer-refocusing”
Topological consequences of null-geodesic refocusing and applications to ZxZ^x manifoldsmath.DG

New findings on compactness and fundamental groups of certain spacetime manifolds.

problem Understanding the compactness and fundamental groups of ZxZ^x manifolds.
method Defined observer-refocusing spacetimes and used contact geometry to prove compactness and finite fundamental groups.
result Analytic ZxZ^x manifolds are YlxY^x_l manifolds for some l>0l>0.
observer-refocusingcompactnessfundamental groupRiemannian geometryLorentzian geometry
2025-03-30abs ↗pdf ↗