On-device research index

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

Trend · papers per month

count % of corpus

3 results for “area-curvature”

Angle structures on pseudo 3-manifoldsmath.GT

Study angle structures on pseudo 3-manifolds, proving existence for some cases.

problem Determining if hyperbolic 3-manifolds can have angle structures.

method Examined triangulated pseudo 3-manifolds with area-curvature angle structures, establishing sufficient and necessary conditions.

result Compact hyperbolic 3-manifolds with totally geodesic boundary can have angle structures.

pseudo 3-manifolds angle structures hyperbolic manifolds area-curvature sufficient and necessary conditions

2025-02-17abs ↗pdf ↗

Transitional geometrymath.GT

We develop a transitional geometry, that is, a family of geometries of constant curvatures which makes a continuous connec-tion between the hyperbolic, Euclidean and spherical geometries. In this transitional setting, several geometric entities like points, lines, dis-tances, triangles, angles, area, curvature, etc. as…

2014-11-21abs ↗pdf ↗

The

L_p

-floating area, curvature entropy, and isoperimetric inequalities on the spheremath.MG

Study spherical convex bodies using $L_p$ -floating areas and curvature entropy.

problem Analogous isoperimetric inequalities for spherical convex bodies.

method Introduced

L_p

-floating areas and curvature entropy for spherical convex bodies.

result Established isoperimetric inequalities and dual isoperimetric inequalities.

spherical convex bodies floating area curvature entropy isoperimetric inequalities spherical space

2024-11-03abs ↗pdf ↗