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An optimal inequality and an extremal class of graph hypersurfaces in affine geometry

Bang-Yen Chen

Source record

Source: Crossref

Published: Sep 1, 2004

DOI: 10.3792/pjaa.80.123

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Source abstract

We discover a general optimal inequality for graph hypersurfaces in affine (n+1)(n + 1)-space Rn+1\mathbf{R}^{n+1} involving the Tchebychev vector field. We also completely classify the hypersurfaces which verify the equality case of the inequality.

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