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Non-Existence of Stable Currents in Hypersurfaces

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Southeast Asian Bulletin of Mathematics

Abstract

Let Mm be a compact hypersurface in the Euclidean space Em+1. In this paper, we study the non-existence of stable integral currents in Mm and its immersed submanifolds. Some vanishing theorems concerning the homology groups of these manifolds are established.

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Authors and Affiliations

  1. College of Fundamental Studies, Shanghai University of Engineering Science, Shanghai, Xianxia Road 350, 200336, China

    Xue-Shan Zhang

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  1. Xue-Shan Zhang
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Correspondence to Xue-Shan Zhang.

Additional information

AMS Subject Classification (1991): 49Q15 53C40 53C20

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Cite this article

Zhang, XS. Non-Existence of Stable Currents in Hypersurfaces. SEA bull. math. 24, 147–154 (2000). https://doi.org/10.1007/s10012-000-0147-x

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  • DOI: https://doi.org/10.1007/s10012-000-0147-x

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