FRACTIONAL YAMABE SOLITONS AND FRACTIONAL NIRENBERG PROBLEM
- 주제(키워드) 도움말 fractional Yamabe problem , Yamabe soliton , Nirenberg problem
- 발행기관 AMER INST MATHEMATICAL SCIENCES-AIMS
- 발행년도 2021
- 총서유형 Journal
- 본문언어 영어
초록/요약 도움말
In this paper, we first study the fractional Yamabe solitons, which are the self-similar solutions to fractional Yamabe flow. We prove some rigidity results and Liouville type results for such solitons. We then consider the fractional Nirenberg problem: the problem of prescribing fractional order curvature on the sphere. More precisely, we prove that there exists a conformal metric on the unit sphere such that its fractional order curvature is f, when f possesses certain reflection or rotation symmetry.
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