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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 · Jun 201019922001200920172026
3 results for “pseudo-geodesics”
Planar pseudo-geodesics and totally umbilic submanifoldsmath.DG

Study totally umbilic submanifolds using planar pseudo-geodesics.

problem Characterize totally umbilic isometric immersions with parallel normalized mean curvature vector.
method Introduce planar pseudo-geodesics and analyze their properties; prove the equivalence of totally umbilic immersions and planar geodesic extrinsic shapes.
result An isometric immersion is totally umbilic if and only if every geodesic of the manifold has planar extrinsic shape.
totally umbilicisometric immersionpseudo-geodesicsgeodesicmean curvature
2021-07-21abs ↗pdf ↗
A property that characterizes the Enneper surface and helix surfacesmath.DG

The Enneper surface and helix surfaces are unique in their geometric properties.

problem Characterizing surfaces with specific geometric properties.
method Analyzing isogonal lines and pseudo-geodesic lines in 3D Euclidean space.
result Helix surfaces and Enneper surface are the only surfaces with isogonal lines as generalized helices and pseudo-geodesic lines.
Enneper surfacehelix surfacesisogonal linesgeneralized helicespseudo-geodesic lines
2026-01-27abs ↗pdf ↗
Endperiodic Automorphisms of Surfaces and Foliationsmath.GT

We extend the unpublished work of M. Handel and R. Miller on the classification, up to isotopy, of endperiodic automorphisms of surfaces. We give the Handel-Miller construction of the geodesic laminations, give an axiomatic theory for pseudo-geodesic lamaniations, show the geodesic laminations satisfy the axioms, and p…

2010-06-23abs ↗pdf ↗