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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.

168,657 papers · 148 categories

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2 results for “Y-cones”

Rigidity and index of free boundary minimal Y-cones in the unit ballmath.DG

Paper proves rigidity and index of Y-cones in unit ball.

problem Proving rigidity and index of Y-cones in the unit ball.

method Analyzes conformal and minimal immersions of Y-cones meeting the boundary orthogonally.

result Y-cones are the only free boundary minimal surfaces with Morse index 2(n-2).

Y-cones rigidity index free boundary minimal surfaces

2025-09-29abs ↗pdf ↗

Free Boundary Plateau Model Cones in

\mathbb{B}^n

are Rigid under Conformal Minimal Immersionsmath.DG

Unified rigidity theorem for Plateau surfaces in $\mathbb{B}^n$ .

problem Rigidity of free-boundary minimal surfaces in

\mathbb{B}^n

method Analyzing conformal free-boundary minimal immersions of Plateau model cones.

result Every conformal free-boundary minimal immersion of the flat

T

-cone into

\mathbb{B}^n

is congruent to the flat

T

-cone.

Plateau problem rigidity theorem minimal surfaces conformal immersions free-boundary

2026-05-26abs ↗pdf ↗