Flat hyperbolic Centro-affine Tchebychev hypersurfaces of \(\mathbb{R}^4\)

DOI10.1007/s00025-021-01363-zzbMath1480.53006OpenAlexW3138573765WikidataQ115609468 ScholiaQ115609468MaRDI QIDQ2038619

Lucius Ramifidisoa, Blaise Ravelo, Sébastien Lalléchère

Publication date: 7 July 2021

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-021-01363-z

zbMATH Keywords

curvature tensorLevi-Civita connectionhyperbolic hypersurfacecentro-affine hypersurfaceTchebychev

Mathematics Subject Classification ID

Linear and affine connections (53B05) Affine differential geometry (53A15)

Related Items (4)

On centroaffine Tchebychev hypersurfaces with constant sectional curvature ⋮ On flat elliptic centroaffine Tchebychev hypersurfaces ⋮ Centroaffine \(T\)-umbilical hypersurfaces and pseudo-parallel cubic form ⋮ On conformally flat centroaffine hypersurfaces with semi-parallel cubic form

Cites Work

• Unnamed Item
• Some relations between Riemannian and affine geometry
• Global Tchebychev nets on complete two-dimensional Riemannian surfaces
• Generic affine hypersurfaces with self congruent center map
• Canonical centroaffine hypersurfaces in \({\mathbb{R}{}}^{n+1}\)
• The Magid-Ryan conjecture for equiaffine hyperspheres with constant sectional curvature.
• Affine spheres with constant affine sectional curvature
• Affine hypersurfaces with parallel cubic form

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