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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.

168,695 papers · 148 categories

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0111 · Oct 202519922001200920172026
2 results for “involutoids”
Some results on evolutoids of convex curves in 22-dimensional space formsmath.DG

Study of evolutoids and involutoids of convex curves in 2D space forms.

problem Characterizing evolutoids and involutoids of convex curves in various 2D space forms.
method Explicit parametrization and analysis of geodesics, singularity theory, and wavefronts.
result Existence and properties of involutoids for convex curves in M−1,0M_{-1,0}.
evolutoidsinvolutoidsconvex curves2D space formsgeodesics
2025-10-08abs ↗pdf ↗
Bertrand Legendre curves in the unit tangent bundle over Euclidean planemath.DG

The study examines Bertrand Legendre curves in the unit tangent bundle over Euclidean plane.

problem Investigating properties of Legendre curves and their associated curves.
method Analyzing Bertrand Legendre curves and their associated curves, including parallel, evolute, and involute curves.
result Existence conditions and inverse operation for Bertrand Legendre curves are provided.
Bertrand Legendre curvesunit tangent bundleEuclidean planeLegendre curvesassociated curves
2026-04-09abs ↗pdf ↗