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Non-existence of stable currents in submanifolds of the Euclidean spaces

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Abstract

We prove the non-existence theorems of stable integral currents for certain classes of hypersurfaces or higher codimensional submanifolds in the Euclidean spaces.

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Authors and Affiliations

  1. College of Mathematics and Information Science, Northwest Normal University, Lanzhou, 730070, China

    Jiancheng Liu & Qiuyan Zhang

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  1. Jiancheng Liu
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  2. Qiuyan Zhang
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Correspondence to Jiancheng Liu.

Additional information

This work was supported by the NNSF of China (No.10871138).

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Liu, J., Zhang, Q. Non-existence of stable currents in submanifolds of the Euclidean spaces. J. Geom. 96, 125–133 (2009). https://doi.org/10.1007/s00022-010-0024-4

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  • DOI: https://doi.org/10.1007/s00022-010-0024-4

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