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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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5 results for “L-stability”
Second variation for L-minimal Legendrian submanifolds in pseudo-Sasakian manifoldsmath.DG

Paper studies second variation for L-minimal submanifolds in pseudo-Sasakian manifolds.

problem Analyzing stability of L-minimal submanifolds in pseudo-Sasakian manifolds.
method Provides a second variation formula and applies it to Lorentzian-Sasakian manifolds.
result Relates L-stability of Legendrians in a Sasakian manifold to their stability in an associated Lorentzian-Sasakian structure.
pseudo-Sasakian manifoldsL-minimal submanifoldssecond variationL-stabilityLegendrian submanifolds
2016-04-04abs ↗pdf ↗
On the spectrum and index of expanding and translating solitons of the mean curvature flow in R3\mathbb{R}^3math.DG

The study classifies translating and self-expanding solitons in 3D space.

problem Characterizing the topology and index of solitons in mean curvature flow.
method Analyzing the spectrum and index of expanding and translating solitons in R3\mathbb{R}^3.
result Translating and self-expanding solitons have finite topology under certain conditions.
mean curvature flowtranslating solitonsself-expandersfinite topologyspectrum analysis
2022-03-11abs ↗pdf ↗