On Variational Formulas of a Conformally Invariant Functional

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• 作者：Xi Guo ; Haizhong Li ; Guoxin Wei
• 关键词：53C20 ; 53C25 ; Weyl curvature tensor ; Riemannian functional
• 刊名：Results in Mathematics
• 出版年：2015
• 出版时间：February 2015
• 年：2015
• 卷：67
• 期：1-2
• 页码：49-70
• 全文大小：288 KB
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• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  
• 出版者：Birkh盲user Basel
• ISSN：1420-9012

文摘

We consider a conformally invariant functional of the space of Riemannian metrics, compute its first variational formula and obtain some examples of its critical point. Then we compute the second variation of the conformally invariant functional about the above examples and get some stability results. These results extend theorems of Kobayashi (J Math Soc Jpn 37:373-89, 1985).