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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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4 results for “pseudo-Iwasawa”

Einstein metrics and Killing spinors on pseudo-Riemannian solvmanifoldsmath.DG

The paper constructs pseudo-Iwasawa solvmanifolds with Killing spinors.

problem Constructing Killing spinors on pseudo-Riemannian solvmanifolds.

method Using nilsolitons and pseudo-Iwasawa condition, the paper constructs families of pseudo-Iwasawa solvmanifolds with Killing spinors.

result All pseudo-Iwasawa solvmanifolds admitting a Killing spinor belong to a specific family.

Killing spinors pseudo-Iwasawa solvmanifolds Einstein solvmanifolds nilsolitons homogeneous Riemannian manifolds

2025-07-31abs ↗pdf ↗

New Special Einstein Pseudo-Riemannian Metrics on Solvable Lie Algebrasmath.DG

New Einstein metrics found on specific Lie algebras.

problem Finding special Einstein metrics on solvable Lie algebras.

method Concrete procedure to construct Einstein pseudo-Kähler and para-Kähler metrics.

result Existence of Einstein pseudo-Riemannian metrics on specific Lie algebras.

Einstein metrics solvable Lie algebras pseudo-Riemannian pseudo-Kähler pseudo-Iwasawa

2021-12-13abs ↗pdf ↗

Pseudo-Kähler and pseudo-Sasaki structures on Einstein solvmanifoldsmath.DG

The paper constructs Einstein Sasaki metrics on solvable Lie groups.

problem Constructing left-invariant Einstein pseudo-Riemannian Sasaki metrics on solvable Lie groups.

method Characterizing pseudo-Kähler structures and derivations giving rise to Sasaki-Einstein metrics.

result Classification of

\mathfrak z

-standard Sasaki solvable Lie algebras of dimension

\leq 7

Einstein solvmanifolds Sasaki metrics pseudo-Kähler structures Sasaki-Einstein metrics solvable Lie algebras

2022-06-28abs ↗pdf ↗

A construction of Einstein solvmanifolds not based on nilsolitonsmath.DG

New Einstein solvmanifolds constructed without using nilsolitons.

problem Constructing Einstein solvmanifolds not based on nilsolitons.

method Using nonsymmetric derivations and a computer algorithm to classify and find solutions up to dimension 9.

result Einstein solvmanifolds of dimensions ≤ 5 are not isometric to standard extensions of nilsolitons.

Einstein solvmanifolds nonsymmetric derivations nilsolitons solvmanifolds computer algorithms

2023-12-05abs ↗pdf ↗