### Abstract

Let M be a compact minimally immersed surface in the unit sphere S^{3}, and let S denote the square of the length of the second fundamental form of M. We prove that if, then M is either the equatorial sphere or the Clifford torus.

Original language | English |
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Pages (from-to) | 1041-1044 |

Number of pages | 4 |

Journal | Proceedings of the American Mathematical Society |

Volume | 111 |

Issue number | 4 |

DOIs | |

State | Published - 1 Jan 1991 |

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## Cite this

Hsu, Y-J. (1991). A global pinching theorem for compact minimal surfaces in s3.

*Proceedings of the American Mathematical Society*,*111*(4), 1041-1044. https://doi.org/10.1090/S0002-9939-1991-1086331-8