학술논문
A note on the uniqueness of solutions for the Yamabe problem
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Working Paper
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Abstract
We prove that in conformal classes of metrics near the class of an Einstein metric (other than the standard round metric on a sphere) the Yamabe problem has a unique solution up to scaling. This is a local extension, in the space of conformal classes, of a well-known uniqueness criterion due to Obata.
Comment: 7 pages. Updated reference list. To appear in Proceedings of the AMS
Comment: 7 pages. Updated reference list. To appear in Proceedings of the AMS