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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.

169,051 papers · 148 categories

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3 results for “pseudo-torsion”
Behavior of torsion functions of spacelike curves in Lorentz-Minkowski spacemath.DG

The paper studies pseudo-torsion functions of spacelike curves in Lorentz-Minkowski space.

problem Understanding the behavior of pseudo-torsion functions along spacelike curves with isolated lightlike points.
method Introducing pseudo-torsion functions and proving the fundamental theorem.
result A necessary and sufficient condition for real analytic spacelike curves to be planar.
pseudo-torsionspacelike curvesLorentz-Minkowski spaceisolated lightlike pointsfundamental theorem
2019-05-08abs ↗pdf ↗
Evolutes of plane curves and null curves in Minkowski 33-spacemath.DG

We use the isotropic projection of Laguerre geometry in order to establish a correspondence between plane curves and null curves in the Minkowski 33-space. We describe the geometry of null curves (Cartan frame, pseudo-arc parameter, pseudo-torsion, pairs of associated curves) in terms of the curvature of the correspon…

2016-05-06abs ↗pdf ↗
The equi-affine curvatures of curves in 3-dimensional pseudo-Riemannian manifoldsmath.DG

The paper explores equi-affine curvatures in pseudo-Riemannian manifolds.

problem Understanding equi-affine curvatures in pseudo-Riemannian manifolds.
method Using Cartan frames and Frenet frames, the paper describes equi-affine curvatures and their relation to Frenet curvatures.
result The constancy of Frenet curvatures does not guarantee the constancy of equi-affine curvatures, and vice versa.
pseudo-Riemannian manifoldsequi-affine curvaturesFrenet framesCartan framesnull curves
2019-10-30abs ↗pdf ↗