论文标题

$ \ mathrm {sl}(2,\ Mathbb {r})\ times \ times \ athrm {sl}(2,\ mathbb {r})$在$ \ mathrm {sl}(2,\ times \ times \ times \ time

Classification of left-invariant Einstein metrics on $\mathrm{SL}(2,\mathbb{R})\times\mathrm{SL}(2,\mathbb{R})$ that are bi-invariant under a one-parameter subgroup

论文作者

Cortés, Vicente, Ehlert, Jeremias, Haupt, Alexander S., Lindemann, David

论文摘要

我们将所有剩下的伪式伪里曼尼亚人的爱因斯坦度量标准在$ \ mathrm {sl}(2,\ mathbb {r})\ times \ times \ times \ times \ times \ mathrm {sl}(2,\ mathbb {r})$下,这是一个单位式的,在一个单位范围内。我们发现,恰好有两个这样的指标,直到同型,杀戮形式和几乎是伪卡勒指标。

We classify all left-invariant pseudo-Riemannian Einstein metrics on $\mathrm{SL}(2,\mathbb{R})\times \mathrm{SL}(2,\mathbb{R})$ that are bi-invariant under a one-parameter subgroup. We find that there are precisely two such metrics up to homothety, the Killing form and a nearly pseudo-Kähler metric.

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