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

Bang-Yen Chen

doi:10.3792/pjaa.80.123

Translator Disclaimer

Sept. 2004 An optimal inequality and an extremal class of graph hypersurfaces in affine geometry

Bang-Yen Chen

Proc. Japan Acad. Ser. A Math. Sci. 80(7): 123-128 (Sept. 2004). DOI: 10.3792/pjaa.80.123

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

Download 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