Rigidity of entire self-shrinking solutions to Kähler-Ricci flow on the complex plane
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- by Wenlong Wang
- Proc. Amer. Math. Soc. 145 (2017), 3105-3108
- DOI: https://doi.org/10.1090/proc/13240
- Published electronically: February 24, 2017
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Abstract:
We show that every entire self-shrinking solution on $\mathbb {C}^1$ to the Kähler-Ricci flow must be generated from a quadratic potential.References
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Bibliographic Information
- Wenlong Wang
- Affiliation: School of Mathematical Sciences, Peking University, Science Building in Peking University, No. 5 Yiheyuan Road, Beijing, People’s Republic of China 100871
- Email: wwlpkumath@yahoo.com
- Received by editor(s): January 20, 2016
- Received by editor(s) in revised form: April 12, 2016
- Published electronically: February 24, 2017
- Additional Notes: The author was partially supported by CSC (China Scholarship Council)
- Communicated by: Lei Ni
- © Copyright 2017 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 145 (2017), 3105-3108
- MSC (2010): Primary 53C44, 53C24, 14A22, 14C15, 14F42, 18D20, 19D55
- DOI: https://doi.org/10.1090/proc/13240
- MathSciNet review: 3637956