Three-dimensional locally homogeneous nondegenerate centroaffine hypersurfaces with nondiagonalizable Tchebychev operator

DOI10.1007/S00025-016-0623-YzbMath1364.53010OpenAlexW2550199760MaRDI QIDQ511798

Masahiro Ooguri

Publication date: 22 February 2017

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

Full work available at URL: https://doi.org/10.1007/s00025-016-0623-y

zbMATH Keywords

Tchebychev vector fieldlocally homogeneouscentroaffine hypersurfacecentroaffine metricTchebychev operator

Mathematics Subject Classification ID

Global submanifolds (53C40) Affine differential geometry (53A15)

Cites Work

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• Canonical centroaffine hypersurfaces in \({\mathbb{R}{}}^{n+1}\)
• Centroaffine minimal hypersurfaces in \(\mathbb{R}^{n+1}\)
• Centroaffinely homogeneous surfaces in \(\mathbb{R}^ 3\)
• The centroaffine Tchebychev operator
• Three dimensional locally homogeneous nondegenerate centroaffine hypersurfaces with null Tchebychev vector field

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