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Complete self-shrinkers with constant norm of the second fundamental form

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Abstract

In this paper, we classify 3-dimensional complete self-shrinkers in Euclidean space \({\mathbb {R}}^{4}\) with constant squared norm of the second fundamental form S and constant \(f_{4}\).

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  • 11 September 2021

    The abstract text has been corrected in the original publication.

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Correspondence to Guoxin Wei.

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The first author was partially supported by JSPS Grant-in-Aid for Scientific Research (B): No. 16H03937. The third author was partly supported by Grant No. 11771154 of NSFC and by GDUPS (2018)

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Cheng, QM., Li, Z. & Wei, G. Complete self-shrinkers with constant norm of the second fundamental form. Math. Z. 300, 995–1018 (2022). https://doi.org/10.1007/s00209-021-02831-6

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  • DOI: https://doi.org/10.1007/s00209-021-02831-6

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