Abstract
We discover a general optimal inequality for graph hypersurfaces in affine $(n + 1)$-space $\mathbf{R}^{n+1}$ involving the Tchebychev vector field. We also completely classify the hypersurfaces which verify the equality case of the inequality.
Citation
Bang-Yen Chen. "An optimal inequality and an extremal class of graph hypersurfaces in affine geometry." Proc. Japan Acad. Ser. A Math. Sci. 80 (7) 123 - 128, Sept. 2004. https://doi.org/10.3792/pjaa.80.123
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