On-device research index

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.

168,742 papers · 148 categories

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5 results for “F-limit”

Local smooth convergence of

\mathbb{F}

-limit flowsmath.DG

Study smooth convergence of metric flows from $\mathbb{F}$ -limits.

problem Smooth convergence of

\mathbb{F}

-limit flows.

method Extensively studied metric flows and

\mathbb{F}

-limits, showing smooth convergence at regular points.

result Each regular point on the limit is a point of smooth convergence.

metric flows smooth convergence F-limit regular points

2023-10-21abs ↗pdf ↗

On noncollapsed

\mathbb{F}

-limit metric solitonsmath.DG

Study noncollapsed F-limit metric solitons, proving properties similar to smooth Ricci shrinkers.

problem Understanding noncollapsed F-limit metric solitons in Ricci flow.

method Systematic study and proving properties similar to smooth Ricci shrinkers.

result Proves quadratic lower bound for scalar curvature, local gap theorem, global Sobolev inequality, and optimal volume growth lower bound.

Ricci flow metric solitons noncollapsed limits scalar curvature Sobolev inequality

2024-01-07abs ↗pdf ↗

Ancient Ricci flows with nonnegative Ricci curvaturemath.DG

Study ancient Ricci flows with nonnegative Ricci curvature and their asymptotic geometry.

problem Understanding the asymptotic geometry of ancient Ricci flows with nonnegative Ricci curvature.

method Analyze tangent flows at infinity and use estimates for noncollapsed F-limit metric solitons.

result Two dichotomy theorems for ancient Ricci flows: either the asymptotic volume ratio is zero or every tangent flow is a Ricci flat cone.

Ricci flow ancient solutions asymptotic geometry tangent flows metric solitons

2026-03-30abs ↗pdf ↗

Tangent Flows of Kähler Metric Flowsmath.DG

The paper improves the description of Kähler metric flows and their singularities.

problem Improving the understanding of Kähler metric flows and their singularities.

method Parabolic regularizations of conjugate heat kernel potential functions based at almost-selfsimilar points.

result Tangent flows of Kähler metric flows admit nontrivial one-parameter actions by isometries.

Kähler metric flows singularities parabolic regularizations isometries quantitative strata

2022-02-13abs ↗pdf ↗

Geometric Structure of Ends of Ricci Shrinkersmath.DG

Study geometric structure of Ricci shrinker ends without global curvature assumptions.

problem Understand the geometric structure of Ricci shrinker ends without global curvature constraints.

method Analyze blow-up sequences of Ricci shrinkers at points with Type I scalar curvature bound, extending F-convergence theory.

result Limits of Ricci shrinkers at points with Type I scalar curvature bound split a line in four dimensions.

Ricci shrinkers Type I scalar curvature F-convergence Geometric structure Ends

2025-08-14abs ↗pdf ↗