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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.

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2 results for “Y-catenoid”

Rigidity of Minimal Surfaces with Y-singularities and low Morse Index in

\mathbb{R}^3

math.DG

Study on minimal surfaces with Y-singularities, proving rigidity for Morse index one.

problem Geometric constraints on minimal surfaces with Y-singularities.

method Investigation of surfaces with low Morse index, focusing on Morse index one.

result Partial uniqueness theorem for Y-catenoid with Morse index one.

minimal surfaces Y-singularities rigidity Morse index Y-catenoid

2025-09-29abs ↗pdf ↗

Morse index of y-singular minimal surfacesmath.DG

Paper calculates Morse index of Y-singular minimal surfaces.

problem Computing Morse index of Y-singular minimal surfaces.

method Utilized two simpler problems: fixed boundary problem and Dirichlet-to-Neumann map.

result Index of Y-catenoid is one.

Morse index minimal surfaces Y-singularities stability operator

2024-10-20abs ↗pdf ↗