Abstract
A surface \(M^2\) in \(\mathbb {S}^4\) is called Möbius homogeneous if for any two points \(p,q \in M^2\) there exists a Moebius transformation which takes \(p\) to \(q\) and keeps \(M^2\) invariant. In this paper we give a complete classification of the Möbius homogenous surfaces in \(\mathbb {S}^4\).
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Acknowledgments
This work is funded by the Project 11171004 and 11331002 of National Natural Science Foundation of China. We thank Professor Haizhong Li and Professor Faen Wu for the helpful discussions and valuable advices.
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Wang, C., Xie, Z. Classification of Möbius homogenous surfaces in \({\mathbb {S}}^4\) . Ann Glob Anal Geom 46, 241–257 (2014). https://doi.org/10.1007/s10455-014-9421-5
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DOI: https://doi.org/10.1007/s10455-014-9421-5