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

Brett Kotschwar

doi:10.1112/blms/bds074

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

Brett Kotschwar

Mathematical and Statistical Sciences, School of (SoMSS)

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

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	https://doi.org/10.1112/blms/bds074
State	Published - Feb 2013

ASJC Scopus subject areas

General Mathematics

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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.",

author = "Brett Kotschwar",

note = "Funding Information: Received 31 October 2011; published online 30 September 2012. 2010 Mathematics Subject Classification 53C44 (primary), 35K55 (secondary). The author was supported in part by NSF grants DMS-0805834 and DMS-1160613.",

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

Abstract

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