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.

169,181 papers · 148 categories

Trend · papers per month

count % of corpus

3 results for “nil-invariant”

Isometry Lie algebras of indefinite homogeneous spaces of finite volumemath.DG

Study Lie algebras of indefinite spaces with finite volume.

problem Characterize isometry Lie algebras of indefinite homogeneous spaces.

method Analyze nil-invariant symmetric bilinear forms and their adjoint representations.

result Derive structure theorem and classify isometry algebras for finite volume.

Lie algebras indefinite spaces finite volume isometries nil-invariant

2018-03-28abs ↗pdf ↗

Simply connected indefinite homogeneous spaces of finite volumemath.DG

Simply connected indefinite homogeneous spaces are compact and have specific Lie algebra structures.

problem Characterizing simply connected indefinite homogeneous spaces of finite volume.

method Analyzing Lie algebras with abelian solvable radical and symmetric bilinear form.

result Simply connected indefinite homogeneous spaces are compact and have specific Lie algebra structures.

homogeneous spaces finite volume compactness Lie algebras metric index

2018-07-06abs ↗pdf ↗

Compact pseudo-Riemannian homogeneous Einstein manifolds of low dimensionmath.DG

Let $M$ be pseudo-Riemannian homogeneous Einstein manifold of finite volume, and suppose a connected Lie group $G$ acts transitively and isometrically on $M$ . In this situation, the metric on $M$ induces a bilinear form $\langle\cdot,\cdot\rangle$ on the Lie algebra $\mathfrak{g}$ of $G$ which is nil-invariant, a prope…

2016-11-26abs ↗pdf ↗