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Admissible metrics in the  -Yamabe equation |
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| Authors: | Weimin Sheng |
| Institution: | Department of Mathematics, Zhejiang University, Hangzhou 310027, People's Republic of China |
| Abstract: | In most previous works on the existence of solutions to the  -Yamabe problem, one assumes that the initial metric  is  -admissible. This is a pointwise condition. In this paper we prove that this condition can be replaced by a weaker integral condition. |
| Keywords: | $\sigma_{k}$-curvature admissible metrics $k$-Yamabe constant |
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