Volume 26, Issue 3
Affine Locally Symmetric Surfaces in $\boldsymbol{R}^4$

Commun. Math. Res., 26 (2010), pp. 269-279.

Published online: 2021-05

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• Abstract

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.

• Keywords

locally symmetric surface, flat normal bundle, equiaffine normal bundle.

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@Article{CMR-26-269, author = {Zhonghua and Hou and and 18259 and and Zhonghua Hou and Yu and Fu and and 18260 and and Yu Fu}, title = {Affine Locally Symmetric Surfaces in $\boldsymbol{R}^4$}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {26}, number = {3}, pages = {269--279}, abstract = {

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.

}, issn = {2707-8523}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cmr/19161.html} }
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.

ZhonghuaHou & YuFu. (2021). Affine Locally Symmetric Surfaces in $\boldsymbol{R}^4$. Communications in Mathematical Research . 26 (3). 269-279. doi:
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