Abstract
In this paper, we investigate nonexistence of stable integral currents in a compact hypersurface with positive Ricci curvature in a Euclidean spaceR m+1 and a vanishing theorem concerning the homology group is obtained.
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The project was supported by NNSFC, FECC and CPSF
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Cheng, QM. Nonexistence of stable currents. Ann Glob Anal Geom 13, 197–205 (1995). https://doi.org/10.1007/BF01120334
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DOI: https://doi.org/10.1007/BF01120334