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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.

168,742 papers · 148 categories

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2 results for “torsion-critical”

Chern flat manifolds that are torsion-criticalmath.DG

New findings on Chern flat metrics and their criticality.

problem Understanding critical Hermitian metrics on Chern flat manifolds.

method Analyzing Chern flat manifolds as compact quotients of complex Lie groups and studying their criticality.

result Chern flat metrics on semi-simple Lie groups are torsion-critical and vice versa.

Chern flat manifolds torsion-critical metrics Hermitian metrics complex Lie groups critical points

2024-11-02abs ↗pdf ↗

On a variational theorem of Gauduchon and torsion-critical manifoldsmath.DG

Extends Gauduchon's result to higher dimensions, showing balanced metrics.

problem Understanding critical metrics in higher-dimensional Hermitian manifolds.

method Analyzes the functional of

L^2

-norm of torsion

1

-form and full Chern torsion.

result Critical metrics are balanced in all dimensions.

Gauduchon theorem Hermitian manifolds critical metrics torsion-critical Euler-Lagrange equation

2022-05-25abs ↗pdf ↗