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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.

168,657 papers · 148 categories

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52104155207 · May 202619922001200920172026
← all fields·4 papers on “asymptotically flat” in Differential Geometry · 1 month
A spacetime positive mass theorem with corners via mollificationmath.DG

Proves spacetime positive mass theorem with corners.

problem Proving a positive mass theorem for spacetime with corners.
method Deformation theorem with corner conditions, asymptotically flat initial data.
result Exterior end satisfies E≥∣P∣E \ge |P| in every dimension n≥3n \ge 3.
spacetime positive mass theoremasymptotically flatcorner conditionsmollificationdominant energy condition
2026-07-21abs ↗pdf ↗
On the uniqueness of surfaces of constant spacetime mean curvature in asymptotically Schwarzschildean lightconesmath.DG

Paper proves uniqueness of specific spacetime surfaces in a lightcone.

problem Proving uniqueness of surfaces of constant spacetime mean curvature in a lightcone.
method Used a fairly generic notion of asymptotic flatness to prove uniqueness.
result Unique foliation by surfaces of constant spacetime mean curvature exists under weaker assumptions.
spacetime mean curvatureasymptotically flatBondi energyBondi linear momentumlightcone
2026-07-13abs ↗pdf ↗