Abstract.
We study locally strongly convex, hyperbolic centroaffine Tchebychev hypersurfaces with complete centroaffine metric. We give a classification in case that the centroaffine Ricci tensor is semi-positive and the scalar curvature is constant. The classification extends known global results for hyperbolic affine hyperspheres and for complete centroaffine extremal hypersurfaces.
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There exist also the transliteration Chebyshev for the name, this transliteration is used in functional analysis; we keep the transliteration that has been used in differential geometry so far.
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Simon, U., Trabelsi, H. & Vrancken, L. Complete Hyperbolic Tchebychev Hypersurfaces. J. geom. 89, 148–159 (2008). https://doi.org/10.1007/s00022-008-2024-1
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DOI: https://doi.org/10.1007/s00022-008-2024-1