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C-Totally Real Submanifolds with Constant Sectional Curvature in the Sasakian Space Forms

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Abstract

In this paper, sharpening a theorem of Yamaguchi et al (J Diff Geom 11: 59–64, 1976), we give a complete classification of n-dimensional C-totally real minimal submanifolds with constant sectional curvature in the \((2n+1)\)-dimensional Sasakian space forms.

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Acknowledgements

The authors would like to thank the referee for his/her valuable comments, which help to improve the readability of this article.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Zhengzhou University, Zhengzhou, 450001, People’s Republic of China

    Xiuxiu Cheng, Huili He & Zejun Hu

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  1. Xiuxiu Cheng
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  2. Huili He
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  3. Zejun Hu
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Correspondence to Zejun Hu.

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Funding

All authors were supported by NSF of China, Grant No. 11771404. Particularly, the first author was supported by CPSF, Grant No. 2019M652554 and NSF of China, Grant No. 12001494.

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The authors hereby state that there are no conflicts of interest regarding the presented results.

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Cheng, X., He, H. & Hu, Z. C-Totally Real Submanifolds with Constant Sectional Curvature in the Sasakian Space Forms. Results Math 76, 144 (2021). https://doi.org/10.1007/s00025-021-01459-6

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