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.

168,742 papers · 148 categories

Trend · papers per month

count % of corpus

11 results for “Ricci-like”

Ricci-like solitons with arbitrary potential and gradient almost Ricci-like solitons on Sasaki-like almost contact B-metric manifoldsmath.DG

Study on Ricci-like solitons and gradient solitons on specific manifolds.

problem Characterizing solitons on Sasaki-like almost contact B-metric manifolds.

method Introduced and studied Ricci-like solitons with arbitrary potential and gradient solitons. Proved properties of the Ricci tensor and soliton coefficients.

result Gradient almost Ricci-like solitons have constant soliton coefficients.

Ricci-like solitons gradient solitons Sasaki-like manifolds B-metric Lie groups

2020-03-22abs ↗pdf ↗

Ricci-like solitons on almost contact B-metric manifoldsmath.DG

Study on Ricci-like solitons on specific geometric manifolds.

problem Characterizing Ricci-like solitons on almost contact B-metric manifolds.

method Introduced and analyzed Ricci-like solitons with Reeb vector fields on these manifolds, considering special cases and providing examples.

result Ricci-like solitons on these manifolds coincide with Einstein-like structures.

Ricci-like solitons almost contact B-metric manifolds Reeb vector field Sasaki-like manifolds torse-forming potentials

2019-12-20abs ↗pdf ↗

Ricci-like solitons with vertical potential on Sasaki-like almost contact B-metric manifoldsmath.DG

Study on Ricci-like solitons on specific geometric manifolds, finding properties and conditions.

problem Characterizing Ricci-like solitons on Sasaki-like almost contact B-metric manifolds.

method Analyzing cases with specific potential fields and studying curvature conditions.

result Found conditions for the potential to have constant length and manifold to be

η

-Einstein.

Ricci-like solitons Sasaki-like manifolds Reeb vector field η-Einstein curvature conditions

2020-03-20abs ↗pdf ↗

Para-Ricci-like solitons with arbitrary potential on para-Sasaki-like Riemannian

Π

-manifoldsmath.DG

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

problem Characterizing para-Ricci-like solitons on para-Sasaki-like Riemannian

Π

-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 solitons para-Sasaki-like Riemannian $Π$-manifolds Ricci tensor scalar curvature Lie group

2022-02-01abs ↗pdf ↗

Para-Ricci-like Solitons with Vertical Potential on Para-Sasaki-Like Riemannian

Π

-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

Π

-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 solitons para-Sasaki-like manifolds geometric properties parallel tensor Riemannian $Π$-manifolds

2021-10-28abs ↗pdf ↗

Minimal surfaces in spheres and a Ricci-like conditionmath.DG

Minimal surfaces in spheres are classified based on a Ricci-like condition.

problem Classifying minimal surfaces in spheres.

method Using a Ricci-like condition equivalent to local isometry to a pseudoholomorphic curve in

\mathbb{S}^5

result Minimal surfaces in spheres satisfying the Ricci-like condition are flat or direct sums of surfaces in the associated family of a pseudoholomorphic curve in

\mathbb{S}^5

minimal surfaces spheres Ricci-like condition pseudoholomorphic curves Gaussian curvature

2019-12-29abs ↗pdf ↗

Almost Ricci-like solitons with torse-forming vertical potential of constant length on almost contact B-metric manifoldsmath.DG

Study on a new type of solitons on specific geometric manifolds.

problem Characterizing new types of solitons in geometric structures.

method Generalization of Ricci-like solitons with specific properties and conditions.

result Conditions for these solitons to be equivalent to almost Einstein-like metrics.

solitons geometric structures Ricci-like almost contact B-metric

2020-06-12abs ↗pdf ↗

Gradient almost para-Ricci-like solitons on para-Sasaki-like Riemannian

Π

-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

Π

-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 solitons Para-Sasaki Riemannian $Π$-manifolds Constant coefficients Scalar curvatures

2022-02-18abs ↗pdf ↗

Solutions and singularities of the Ricci-harmonic flow and Ricci-like flows of

\mathrm{G_2}

-structuresmath.DG

Study solutions and singularities of G2-structures flows on specific manifolds.

problem Investigate singularities and solutions of G2-structures flows.

method Explicit solutions and singularities of Ricci-harmonic flow, Ricci-like flows, and negative gradient flow of G2-structures on specific manifolds.

result First examples of Type I singularities of Ricci-harmonic flow and Type IIb and Type III singularities of Ricci-like flows.

G2-structures flows singularities Calabi-Yau Heisenberg group

2026-01-23abs ↗pdf ↗

U-geometry : SL(5)hep-th

Recently Berman and Perry constructed a four-dimensional M-theory effective action which manifests SL(5) U-duality. Here we propose an underlying differential geometry of it, under the name `SL(5) U-geometry' which generalizes the ordinary Riemannian geometry in an SL(5) compatible manner. We introduce a `semi-covarian…

2013-02-07abs ↗pdf ↗

Special Liouville metric with the Ricci conditionmath.DG

Special Liouville metrics with Ricci-like conditions are determined by elliptic functions.

problem Characterizing Liouville metrics with Ricci-like conditions in complex space forms.

method Analyzing necessary conditions for induced metrics of parallel mean curvature surfaces and proving the existence of specific Liouville metrics.

result Explicit determination of special Liouville metrics with Ricci-like conditions by elliptic functions.

Liouville metric Ricci condition complex space form parallel mean curvature elliptic function

2021-05-05abs ↗pdf ↗