Title | Singular limit laminations, Morse index, and positive scalar curvature. |

Publication Type | Journal Article |

Year of Publication | 2005 |

Authors | Colding T.H, De Lellis C. |

Journal | Topology |

Volume | 44 |

Pagination | 25–45 |

Publisher | Elsevier |

Type of Article | minimal |

ISSN | 0040-9383 |

Keywords | Laminations, Minimal surfaces, Morse index, Positive scalar curvature |

Abstract | For any 3-manifold M3 and any nonnegative integer g, we give here examples of metrics on M each of which has a sequence of embedded minimal surfaces of genus g and without Morse index bounds. On any spherical space form we construct such a metric with positive scalar curvature. More generally, we construct such a metric with Scal\ensuremath>0 (and such surfaces) on any 3-manifold which carries a metric with Scal\ensuremath>0. |

Notes | Topology 44 (2005), no. 1, 25–45. |

URL | https://www.sciencedirect.com/science/article/pii/S0040938304000035 |

DOI | 10.1016/j.top.2004.01.007 |

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