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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.

168,657 papers · 148 categories

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6 results for “CYT”

CYT and SKT Metrics on Compact Semi-Simple Lie Groupsmath.DG

The paper examines SKT and CYT metrics on Lie groups.

problem Existence and properties of SKT and CYT metrics on Lie groups.

method Study left-invariant metrics on compact semi-simple Lie groups.

result Left-invariant metrics that are both CYT and SKT must be Bismut flat.

Lie groups Hermitian metrics Calabi-Yau SKT CYT

2022-12-15abs ↗pdf ↗

CYT and SKT manifolds with parallel Bismut torsionmath.DG

Study SKT and CYT manifolds with parallel Bismut torsion.

problem Characterize and construct compact complex manifolds with specific geometric properties.

method Characterization via universal cover, construction using mapping torus, investigation of generalized Kaehler structures.

result Existence of non-Bismut flat examples and characterization of universal covers.

SKT manifolds CYT manifolds parallel Bismut torsion Kaehler Ricci-flat Bismut flat

2024-01-15abs ↗pdf ↗

Almost Calabi-Yau with torsion 6-manifolds and the instanton conditionmath.DG

New insights on ACYT 6-manifolds reveal instanton conditions for curvature.

problem Understanding instanton conditions on ACYT 6-manifolds.

method Analyzing curvature and torsion properties of ACYT 6-manifolds.

result Curvature is an

SU(3)

-instanton if and only if torsion is parallel.

ACYT 6-manifolds instanton condition curvature torsion Lee form

2025-07-02abs ↗pdf ↗

Pluriclosed metrics on compact semisimple Lie groupsmath.DG

Explicitly describes pluriclosed metrics on compact Lie groups.

problem Characterizing pluriclosed metrics on compact Lie groups.

method Explicit description using root systems and invariant structures.

result Explicit formulas for pluriclosed metrics in terms of root systems.

Pluriclosed metrics Compact Lie groups Root systems Invariant structures Hermitian structures

2025-06-26abs ↗pdf ↗

Hermitian non-Kähler structures on products of principal

S^{1}

-bundles over complex flag manifolds and applications in Hermitian geometry with torsionmath.DG

In this paper we provide an explicit description of normal almost contact structures obtained from Cartan-Ehresmann connections (gauge fields) on principal $S^{1}$ -bundles over complex flag manifolds. The main feature of our approach is to employ elements of representation theory of complex simple Lie algebras in order…

2018-03-24abs ↗pdf ↗

On the rigidity of special and exceptional geometries with torsion a closed

3

-formmath.DG

Riemannian manifolds with specific torsion are locally isometric to products.

problem Characterizing the geometry of manifolds with special and exceptional torsion.

method Using connections with torsion as 3-forms, proving local and global isometries.

result Complete and simply connected manifolds with the specified torsion are products of a semisimple group and a manifold with zero torsion.

Riemannian manifolds torsion isometry semisimple groups closed 3-form

2025-11-25abs ↗pdf ↗