Affine Locally Symmetric Surfaces in $\boldsymbol{R}^4$

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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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Affine Locally Symmetric Surfaces in $\boldsymbol{R}^4$. (2021). Communications in Mathematical Research, 26(3), 269-279. https://www.global-sci.com/index.php/cmr/article/view/8664