Variation of total Q-prime curvature on CR manifolds

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• 作者：Kengo Hirachi^a ; ^{hirachi@ms.u-tokyo.ac.jp} ; Taiji Marugame^a ; ^{marugame@ms.u-tokyo.ac.jp} ; Yoshihiko Matsumoto^b ; ¹ ; ^{matsumoto@math.sci.osaka-u.ac.jp}
• 关键词：primary ; 32V05 ; secondary ; 32Q15
• 刊名：Advances in Mathematics
• 出版年：2017
• 出版时间：14 January 2017
• 年：2017
• 卷：306
• 期：Complete
• 页码：1333-1376
• 全文大小：647 K
• 卷排序：306

文摘

We derive variational formulas for the total Q-prime curvature under the deformation of strictly pseudoconvex domains in a complex manifold. We also show that the total Q-prime curvature agrees with the renormalized volume of such domains with respect to the complete Kähler–Einstein metric.