Let $X$ be a compact Kähler manifold of dimension $n$. For $1⩽j⩽m$, let $T_j$ be a closed positive (1,1)‐current on $X$ whose cohomology class is Kähler. Let $T$ be a closed positive current of bi‐degree $(p,p)$ with $m+p⩽n$. We prove that if $T_1,\dots ,T_m$ are of $T$‐relative full mass intersection, then the $T$‐relative non‐pluripolar product of $T_1,\dots ,T_m$ is equal to the Dinh–Sibony product of $T_1,\dots ,T_m,T$.

中文翻译：

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密度电流和相对非多极性乘积

让 $X$ 成为尺寸紧凑的Kähler流形 $ñ$。为了$\mathrm{1个}⩽Ĵ⩽米$， 让 ${Ť}_{Ĵ}$ 成为闭合的正（1,1）-电流 $X$其同调类是Kähler。让$Ť$ 是双向的闭合正电流 $（p，p）$ 和 $米+p⩽ñ$。我们证明${Ť}_{\mathrm{1个}}，\dots ，{Ť}_{米}$ 属于 $Ť$相对完整的质量交点，则 $Ť$相对非多极乘积 ${Ť}_{\mathrm{1个}}，\dots ，{Ť}_{米}$ 等于Dinh–Sibony的乘积 ${Ť}_{\mathrm{1个}}，\dots ，{Ť}_{米}，Ť$。