### Abstract

It is a theorem of Bando that if g(t) is a solution to the Ricci flow on a compact manifold M, then (M,g(t)) is real-analytic for each t > 0. In this note, we extend his result to smooth solutions on open domains U ⊂ M.

Original language | English (US) |
---|---|

Pages (from-to) | 153-158 |

Number of pages | 6 |

Journal | Bulletin of the London Mathematical Society |

Volume | 45 |

Issue number | 1 |

DOIs | |

State | Published - Feb 2013 |

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### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

**A local version of Bando's theorem on the real-analyticity of solutions to the Ricci flow.** / Kotschwar, Brett.

Research output: Contribution to journal › Article

}

TY - JOUR

T1 - A local version of Bando's theorem on the real-analyticity of solutions to the Ricci flow

AU - Kotschwar, Brett

PY - 2013/2

Y1 - 2013/2

N2 - It is a theorem of Bando that if g(t) is a solution to the Ricci flow on a compact manifold M, then (M,g(t)) is real-analytic for each t > 0. In this note, we extend his result to smooth solutions on open domains U ⊂ M.

AB - It is a theorem of Bando that if g(t) is a solution to the Ricci flow on a compact manifold M, then (M,g(t)) is real-analytic for each t > 0. In this note, we extend his result to smooth solutions on open domains U ⊂ M.

UR - http://www.scopus.com/inward/record.url?scp=84876563678&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84876563678&partnerID=8YFLogxK

U2 - 10.1112/blms/bds074

DO - 10.1112/blms/bds074

M3 - Article

VL - 45

SP - 153

EP - 158

JO - Bulletin of the London Mathematical Society

JF - Bulletin of the London Mathematical Society

SN - 0024-6093

IS - 1

ER -