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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.

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8 results for “BCV-spaces”

The noncommutative residue and sub-Riemannian limits for the twisted BCV spacesmath.DG

Paper derives sub-Riemannian versions of Kastler-Kalau-Walze and Dabrowski-Sitarz-Zalecki theorems for twisted BCV spaces.

problem Deriving sub-Riemannian versions of the Kastler-Kalau-Walze and Dabrowski-Sitarz-Zalecki theorems for twisted BCV spaces.

method Derives sub-Riemannian versions of the Kastler-Kalau-Walze and Dabrowski-Sitarz-Zalecki theorems for the twisted BCV spaces.

result Computes Connes conformal invariants for the twisted product and sub-Riemannian limits of these invariants for the twisted BCV spaces.

sub-Riemannian limits twisted BCV spaces Connes conformal invariants Kastler-Kalau-Walze theorem Dabrowski-Sitarz-Zalecki theorem

2024-09-23abs ↗pdf ↗

Biharmonic Riemannian submersions from a 3-dimensional BCV spacemath.DG

The study classifies biharmonic submersions from 3D BCV spaces.

problem Classifying biharmonic submersions from 3D BCV spaces.

method Complete classification through proving existence and constructing families of submersions.

result Proper biharmonic Riemannian submersions exist only in two specific cases.

biharmonic submersions 3D BCV spaces Riemannian geometry Thurston's geometries space forms

2023-02-19abs ↗pdf ↗

Biconservative surfaces in BCV-spacesmath.DG

Study biconservative surfaces in BCV-spaces, finding their characterizations.

problem Characterize biconservative surfaces in BCV-spaces.

method Analyze biconservative surfaces in 3D Bianchi-Cartan-Vranceanu spaces, considering specific conditions.

result Characterizations of biconservative surfaces in BCV-spaces under certain conditions.

biconservative surfaces BCV-spaces characterization biharmonic hypersurfaces constant angle

2016-09-14abs ↗pdf ↗

Bour's theorem and helicoidal surfaces with constant mean curvature in the Bianchi-Cartan-Vranceanu spacesmath.DG

The paper extends Bour's theorem to BCV spaces with constant mean curvature helicoids.

problem Generalizing Bour's theorem to helicoidal surfaces in BCV spaces.

method Two-parameter family representation of helicoidal surfaces.

result Characterization of helicoidal surfaces with constant mean curvature.

Bour's theorem helicoidal surfaces BCV spaces constant mean curvature isometric surfaces

2021-02-01abs ↗pdf ↗

Polyharmonic surfaces in

3

-dimensional homogeneous spacesmath.DG

Study classifies triharmonic surfaces in 3D homogeneous spaces.

problem Classifying triharmonic surfaces in 3D homogeneous spaces.

method Classification through isoparametric and CMC surfaces.

result Complete classification of CMC r-harmonic Hopf cylinders in BCV-spaces.

triharmonic surfaces homogeneous spaces isoparametric CMC Hopf cylinders

2023-02-13abs ↗pdf ↗

Totally Biharmonic Hypersurfaces in Space Forms and 3-Dimensional BCV Spacesmath.DG

Totally biharmonic hypersurfaces in space forms and 3D BCV spaces classified.

problem Characterizing totally biharmonic hypersurfaces in space forms and 3D BCV spaces.

method Analyzing geodesics and isoparametric properties to classify hypersurfaces.

result Classification of totally biharmonic hypersurfaces in space forms and 3D BCV spaces.

totally biharmonic hypersurfaces space forms BCV spaces geodesics

2019-11-06abs ↗pdf ↗

Geometry of extended Bianchi-Cartan-Vranceanu spacesmath.DG

Study of extended Bianchi-Cartan-Vranceanu spaces in seven dimensions.

problem Understanding geometric properties of extended Bianchi-Cartan-Vranceanu spaces.

method Investigation of Levi-Civita connection, Ricci curvatures, Killing fields, and geodesics in seven-dimensional EBCV spaces.

result Characterization of geometric properties in extended Bianchi-Cartan-Vranceanu spaces.

Geometry Extended Bianchi-Cartan-Vranceanu spaces Seven dimensions Levi-Civita connection Ricci curvatures

2018-01-31abs ↗pdf ↗

Harmonic Riemannian submersions from 3-dimensional geometriesmath.DG

Study of harmonic Riemannian submersions from 3D geometries.

problem Characterizing harmonic Riemannian submersions from specific 3D geometries.

method Using generalized integrability data and classifications of Thurston's 3D geometries, 3D BCV spaces, and Berger sphere.

result Complete classifications and explicit constructions of harmonic Riemannian submersions.

harmonic Riemannian submersion 3D geometries Thurston's geometries BCV spaces Berger sphere

2023-02-19abs ↗pdf ↗