Flat centroaffine surfaces with parallel second fundamental form in R4

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摘要

By solving certain partial differential equations, we obtain some classification results for flat centroaffine surfaces in R4, under the condition of parallel second fundamental form and vanishing Pick invariant. We also get some examples for flat centroaffine umbilical surface with parallel second fundamental form.

论文关键词：Centroaffine surfaces,Curvature,Pick invariant,The second fundamental form

论文评审过程：Available online 7 July 2014.

论文官网地址：https://doi.org/10.1016/j.amc.2014.06.062