Proceedings of the American Mathematical Society

Author(s): Weimin Sheng
Journal: Proc. Amer. Math. Soc. 136 (2008), 1795-1802.
MSC (2000): Primary 53C21; Secondary 53C20, 35J60
Posted: December 18, 2007
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Abstract: In most previous works on the existence of solutions to the $\sigma_{k}$ -Yamabe problem, one assumes that the initial metric $g_{0}$ is

-admissible. This is a pointwise condition. In this paper we prove that this condition can be replaced by a weaker integral condition.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 53C21, 53C20, 35J60

Weimin Sheng
Affiliation: Department of Mathematics, Zhejiang University, Hangzhou 310027, People's Republic of China
Email: weimins@zju.edu.cn

DOI: 10.1090/S0002-9939-07-09167-8
PII: S 0002-9939(07)09167-8
Keywords: $\sigma_{k}$-curvature, admissible metrics, $k$-Yamabe constant
Received by editor(s): January 30, 2007
Received by editor(s) in revised form: February 21, 2007
Posted: December 18, 2007
Additional Notes: The author was supported in part by NSFC Grant \#10471122.
Communicated by: Richard A. Wentworth
Copyright of article: Copyright 2007, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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