论文标题
伪内stein3-manifolds的功能决定因素
Functional Determinant on Pseudo-Einstein 3-manifolds
论文作者
论文摘要
给定三维伪-Einstein cr歧管$（m，t^{1,0} m，θ）$，我们为$ q'$ - curvature of $ q'$ curvature of Performal $ tif $ tif $ tif $ tif $ tif $ tif $ tif $ tif $ the $ the $ the $ the $ the $ the $ the Paneitz Type Operators $a_θ$的表达式建立了一个表达式。 pluriharmonic功能。这概括了功能决定因素在\ cite {bo2}中建立的四个维riemannian歧管中的表达。我们还提供了最大化量的最大化量的结果，如\ cite {cy}中的缩放不变函数确定性。
Given a three dimensional pseudo-Einstein CR manifold $(M,T^{1,0}M,θ)$, we establish an expression for the difference of determinants of the Paneitz type operators $A_θ$, related to the problem of prescribing the $Q'$-curvature, under the conformal change $θ\mapsto e^{w}θ$ with $w\in ¶$ the space of pluriharmonic functions. This generalizes the expression of the functional determinant in four dimensional Riemannian manifolds established in \cite{BO2}. We also provide an existence result of maximizers for the scaling invariant functional determinant as in \cite{CY}.
