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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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1122 · Apr 202219922001200920172026
3 results for “CRPC”
Families of surfaces with constant ratio of principal curvatures and Plateau's problemmath.DG

This research solves Plateau's problem for CRPC surfaces.

problem Constructing surfaces with constant ratio of principal curvatures.
method Proposed a family of surfaces containing a given minimal surface without flat points.
result Obtained a partial solution to Plateau's problem for CRPC surfaces.
CRPC surfacesPlateau's problemMinimal surfacesIsotropic geometrySuccessive approximations
2025-10-16abs ↗pdf ↗
On Helical Surfaces with a Constant Ratio of Principal Curvaturesmath.DG

Study finds all helical surfaces with a constant ratio of principal curvatures.

problem Identifying helical surfaces with a constant ratio of principal curvatures.
method Employing the contours for parallel projection orthogonal to the helical axis, and solving an ordinary differential equation.
result Explicit CRPC surfaces beyond rotational ones are determined.
Helical SurfacesPrincipal CurvaturesCRPCInvolutionParallel Projection
2022-04-13abs ↗pdf ↗
Characterizations of Loxodromes on Rotational Surfaces in Euclidean 3--Spacemath.DG

The study characterizes loxodromes on specific rotational surfaces in 3D space.

problem Characterizing loxodromes on rotational surfaces with special geometric properties.
method Parametrizations and curvature/torsion calculations for loxodromes on various rotational surfaces.
result The loxodrome on a flat rotational surface is a general helix.
loxodromesrotational surfacesEuclidean 3-spacecurvaturetorsion
2022-04-12abs ↗pdf ↗