The full holonomy group under the Ricci flow
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- by Mary Cook and Brett Kotschwar
- Proc. Amer. Math. Soc. 148 (2020), 5313-5321
- DOI: https://doi.org/10.1090/proc/15156
- Published electronically: August 11, 2020
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Abstract:
We give a short, direct proof that the full holonomy group of a solution to the Ricci flow is invariant up to isomorphism using the invariance of the reduced holonomy under the flow.References
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Bibliographic Information
- Mary Cook
- Affiliation: School of Mathematical and Statistical Sciences, Arizona State University, Tempe, Arizona 85287
- Email: mkcook@asu.edu
- Brett Kotschwar
- Affiliation: School of Mathematical and Statistical Sciences, Arizona State University, Tempe, Arizona 85287
- MR Author ID: 814008
- Email: kotschwar@asu.edu
- Received by editor(s): December 27, 2019
- Received by editor(s) in revised form: April 24, 2020
- Published electronically: August 11, 2020
- Additional Notes: The second author was partially supported by Simons Foundation grant #359335.
- Communicated by: Jia-Ping Wang
- © Copyright 2020 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 148 (2020), 5313-5321
- MSC (2020): Primary 53E20
- DOI: https://doi.org/10.1090/proc/15156
- MathSciNet review: 4163843