TY - JOUR T1 - Affine Locally Symmetric Surfaces in $\boldsymbol{R}^4$ AU - Hou , Zhonghua AU - Fu , Yu JO - Communications in Mathematical Research VL - 3 SP - 269 EP - 279 PY - 2021 DA - 2021/05 SN - 26 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cmr/19161.html KW - locally symmetric surface, flat normal bundle, equiaffine normal bundle. AB -

The nondegenerate affine locally symmetric surfaces in $\boldsymbol{R}^4$ with the transversal bundle defined by Nomizu and Vrancken$^{[1]}$ have been studied and a complete classification of the locally symmetric surfaces with flat normal bundle has been given.