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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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1122 · Feb 202219922001200920172026
8 results for “Para-Sasaki”
Para-Sasaki-like Manifolds with Generalized Symmetric Metric Connectionmath.DG

The paper studies para-Sasaki-like manifolds with a new metric connection.

problem Investigating new geometric structures on para-Sasaki-like manifolds.
method Deriving relations between connections, analyzing curvature tensors, studying solitons, constructing examples.
result Derived relations and properties of para-Sasaki-like manifolds with the generalized symmetric metric connection.
para-Sasaki-like manifoldsgeneralized symmetric metric connectioncurvature tensorsRicci tensorscalar curvature
2023-04-03abs ↗pdf ↗
Para-Sasaki-like Riemannian manifolds and new Einstein metricsmath.DG

New Einstein metrics found from para-Sasaki-like Riemannian manifolds.

problem Finding new Einstein metrics in Riemannian geometry.
method Cone construction and hyperbolic extension of paracontact paracomplex Riemannian manifolds.
result New complete Einstein para-Sasaki-like Riemannian manifolds with negative scalar curvature.
Einstein metricsparacontact Riemannian manifoldscone constructionhyperbolic extensionnegative scalar curvature
2020-08-10abs ↗pdf ↗
Gradient almost para-Ricci-like solitons on para-Sasaki-like Riemannian ΠΠ-manifoldsmath.DG

Gradient almost para-Ricci-like solitons have constant coefficients and scalar curvatures.

problem Characterizing gradient almost para-Ricci-like solitons on para-Sasaki-like Riemannian ΠΠ-manifolds.
method Proving constant coefficients and scalar curvatures through analysis of soliton properties.
result Constant coefficients and scalar curvatures for gradient almost para-Ricci-like solitons.
Gradient solitonsPara-SasakiRiemannian $Π$-manifoldsConstant coefficientsScalar curvatures
2022-02-18abs ↗pdf ↗
Para-Ricci-like solitons with arbitrary potential on para-Sasaki-like Riemannian ΠΠ-manifoldsmath.DG

Study of para-Ricci-like solitons on specific Riemannian manifolds.

problem Characterizing para-Ricci-like solitons on para-Sasaki-like Riemannian ΠΠ-manifolds.
method Introduced and studied para-Ricci-like solitons with arbitrary potential. Proved properties of Ricci tensor and scalar curvatures.
result Ricci tensor is a constant multiple of the vertical component of both metrics, leading to equal and constant scalar curvatures.
para-Ricci-like solitonspara-Sasaki-like Riemannian $Π$-manifoldsRicci tensorscalar curvatureLie group
2022-02-01abs ↗pdf ↗
Para-Ricci-like Solitons with Vertical Potential on Para-Sasaki-Like Riemannian ΠΠ-Manifoldsmath.DG

Study para-Ricci-like solitons on special Riemannian manifolds, proving geometric properties and providing an example.

problem Characterize para-Ricci-like solitons on para-Sasaki-like Riemannian ΠΠ-manifolds.
method Analyzed different cases of potential vectors and proved geometric properties of constructed objects.
result Obtained results for a parallel symmetric second-order covariant tensor and provided an explicit example.
para-Ricci-like solitonspara-Sasaki-like manifoldsgeometric propertiesparallel tensorRiemannian $Π$-manifolds
2021-10-28abs ↗pdf ↗
Equiaffine immersions and pseudo-Riemannian space formsmath.DG

Constructs immersions into pseudo-Riemannian spaces from equiaffine immersions.

problem Creating immersions into pseudo-Riemannian spaces from equiaffine immersions.
method Explicit construction using para-Sasaki metric and principal R\mathbb{R}-bundle structure.
result Maximal spacelike submanifolds in Hn+1,n\mathbb{H}^{n+1,n} with specific boundary conditions.
immersionspseudo-Riemannianequiaffinemaximal submanifoldspseudo-Sasaki
2025-12-10abs ↗pdf ↗
Para-Kähler-Einstein 4-manifolds and non-integrable twistor distributionsmath.DG

Study para-Kähler-Einstein metrics and their non-integrable twistor distributions.

problem Characterize para-Kähler-Einstein metrics and their associated non-integrable twistor distributions.
method Use Cartan's method of equivalence and analyze the anti-self-dual Weyl tensor.
result Establish a correspondence between the anti-self-dual Weyl tensor and the Cartan quartic of the twistor distribution.
para-Kähler-Einsteintwistor distributionCartan connectionsYang-Mills equationssplit-signature metrics
2020-09-13abs ↗pdf ↗