Asymptotically flat and scalar flat metrics on $\mathbb {R}^3$ admitting a horizon
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- by Pengzi Miao PDF
- Proc. Amer. Math. Soc. 132 (2004), 217-222 Request permission
Abstract:
We give a new construction of asymptotically flat and scalar flat metrics on $\mathbb {R}^3$ with a stable minimal sphere. The existence of such a metric gives an affirmative answer to a question raised by R. Bartnik (1989).References
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Additional Information
- Pengzi Miao
- Affiliation: Department of Mathematics, Stanford University, Palo Alto, California 94305
- MR Author ID: 715810
- Email: mpengzi@math.stanford.edu
- Received by editor(s): May 2, 2002
- Received by editor(s) in revised form: August 23, 2002
- Published electronically: May 9, 2003
- Communicated by: Bennett Chow
- © Copyright 2003 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 132 (2004), 217-222
- MSC (2000): Primary 53C80; Secondary 83C99
- DOI: https://doi.org/10.1090/S0002-9939-03-07029-1
- MathSciNet review: 2021265