科研之友
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摘要
In this paper, we establish a general inequality for locally strongly convex centroaffine hypersurfaces in Rn+1 involving the norm of the covariant differentiation of both the difference tensor K and the Tchebychev vector field T. Our result is optimal in that, applying our recent classification for locally strongly convex centroaffine hypersurfaces with parallel cubic form in Cheng et al. (Results Math, doi:10.1007/s00025-017-0651-2, 2017), we can completely classify the hypersurfaces which realize the equality case of the inequality.
- 出版日期2018-1
- 单位郑州大学
