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Asymptotically flat and scalar flat metrics on  admitting a horizon
Author(s):
Pengzi
Miao
Journal:
Proc. Amer. Math. Soc.
132
(2004),
217-222.
MSC (2000):
Primary 53C80;
Secondary 83C99
Posted:
May 9, 2003
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Abstract:
We give a new construction of asymptotically flat and scalar flat metrics on  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
Email:
mpengzi@math.stanford.edu
DOI:
10.1090/S0002-9939-03-07029-1
PII:
S 0002-9939(03)07029-1
Keywords:
Scalar flat metrics,
horizon
Received by editor(s):
May 2, 2002
Received by editor(s) in revised form:
August 23, 2002
Posted:
May 9, 2003
Communicated by:
Bennett Chow
Copyright of article:
Copyright
2003,
American Mathematical Society
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