Survey on Yamabe problem
碩士 === 國立臺灣大學 === 數學研究所 === 97 === The Yamabe problem is as following. Given a compact Riemannian manifold of dimension n≥3, find a conformal metric with constant scalar curvature. The problem is completely solved by Richard Schoen in 1984. This thesis studies the proof of the Yamabe problem. It als...
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| Format: | Others |
| Language: | zh-TW |
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2009
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| Online Access: | http://ndltd.ncl.edu.tw/handle/74195529322620808528 |
| Summary: | 碩士 === 國立臺灣大學 === 數學研究所 === 97 === The Yamabe problem is as following. Given a compact Riemannian manifold of dimension n≥3, find a conformal metric with constant scalar curvature. The problem is completely solved by Richard Schoen in 1984. This thesis studies the proof of the Yamabe problem. It also includes some results of the Yamabe flow, which is the parabolic counterpart of the Yamabe problem.
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