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Asymptotically flat and scalar flat metrics on $\mathbb{R} ^3$ admitting a horizon

Author: Pengzi Miao
Journal: Proc. Amer. Math. Soc. 132 (2004), 217-222
MSC (2000): Primary 53C80; Secondary 83C99
Published electronically: May 9, 2003
MathSciNet review: 2021265
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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 [Enhancements On Off] (What's this?)

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Additional Information

Pengzi Miao
Affiliation: Department of Mathematics, Stanford University, Palo Alto, California 94305

Keywords: Scalar flat metrics, horizon
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
Article copyright: © Copyright 2003 American Mathematical Society

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