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Submanifolds with Parallel Möbius Second Fundamental Form in the Unit Sphere

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Abstract

In this paper, we establish a complete classification of umbilic-free submanifolds of the unit sphere with parallel Möbius second fundamental form and arbitrary codimension.

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Authors and Affiliations

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

    Zejun Hu & Shujie Zhai

Authors
  1. Zejun Hu
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  2. Shujie Zhai
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Correspondence to Shujie Zhai.

Additional information

This project was supported by NSF of China, Grant Numbers 11371330 and 11771404.

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Hu, Z., Zhai, S. Submanifolds with Parallel Möbius Second Fundamental Form in the Unit Sphere. Results Math 73, 93 (2018). https://doi.org/10.1007/s00025-018-0850-5

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  • DOI: https://doi.org/10.1007/s00025-018-0850-5

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