Self-dual gravitational instantons and geometric flows of all Bianchi types
Self-dual gravitational instantons and geometric flows of all Bianchi types
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自对偶引力瞬子和所有 Bianchi 类型的几何流
DOI：
10.1088/0264-9381/28/24/245004
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发表时间：
2011
影响因子：
3.5
通讯作者：
K. Siampos
中科院分区：
文献类型：
--
作者：
P. Petropoulos;V. Pozzoli;K. Siampos
本文研究了四维自对偶引力瞬子，其中是一个三维齐次比安奇型流形。我们分析了引力瞬子中的欧几里德时间演化可以用度规的几何流来识别的一般条件。这包括了幺模群和非幺模群，并且相应的几何流是一个伴随着一个单同态的一般Ricci加Yang-Mills流。
We investigate four-dimensional, self-dual gravitational instantons endowed with a product structure , where is a homogeneous three-dimensional manifold of Bianchi type. We analyze the general conditions under which Euclidean-time evolution in the gravitational instanton can be identified with a geometric flow of a metric on . This includes both unimodular and non-unimodular groups, and the corresponding geometric flow is a general Ricci plus Yang–Mills flow accompanied by a diffeomorphism.