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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.

169,341 papers · 148 categories

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4 results for “H-planes”

Asymptotic H-Plateau Problem in Hyperbolic 3-spacemath.DG

In hyperbolic 3-space, H-planes can be formed around curves with smooth points.

problem Forming H-planes in hyperbolic 3-space.

method Analyzing Jordan curves in the asymptotic sphere.

result Embedded H-planes can be created for any H in [0,1) around curves with smooth points.

hyperbolic geometry H-planes asymptotic spheres Jordan curves

2015-05-04abs ↗pdf ↗

Embedded

H

-Planes in Hyperbolic 3-Spacemath.DG

Embedded $H$ -planes found for any curve in hyperbolic 3-space.

problem Finding embedded

H

-planes for curves in hyperbolic 3-space.

method Constructing

H

-planes with asymptotic boundary curves.

result Existence and uniqueness of minimizing

H

-planes.

hyperbolic 3-space Jordan curves embedded planes minimizing surfaces quasi-Fuchsian manifolds

2017-05-08abs ↗pdf ↗

Non-properly Embedded H-Planes in Hyperbolic 3-Spacemath.DG

For any H in [0,1), we construct complete, non-proper, stable, simply-connected surfaces with constant mean curvature H embedded in hyperbolic 3-space.

2015-03-16abs ↗pdf ↗

Non-properly Embedded H-Planes in H^2xRmath.DG

New surfaces in 3D space with constant curvature.

problem Constructing surfaces with constant curvature in a specific space.

method Created surfaces with constant mean curvature H in H^2xR.

result Successfully constructed non-properly embedded surfaces.

constant curvature H^2xR mean curvature non-properly embedded surfaces

2016-09-27abs ↗pdf ↗