A generalization of the notion of instanton
A generalization of the notion of instanton
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DOI：
10.1016/s0926-2245(97)00013-2
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发表时间：
1998-02
影响因子：
0.5
通讯作者：
Ramón Reyes Carrión
中科院分区：
文献类型：
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作者：
Ramón Reyes Carrión
当人们认为曲率具有一般李代数 ℷ 而不是 su (2)+≅ Λ+2 中的值时，可以推广四维瞬子的概念。对于具有 G 结构 P 的流形，定义正则复形以制定广义瞬子的无穷小变形理论。研究了该复形的存在对 P 施加的确切条件，并且对这些条件的检查使人们能够区分以完整约简的替代方案为特征的黎曼流形的类别。
The concept of an instanton in four dimensions can be generalized when one considers the curvature as having values in a general Lie algebra ℷ instead of su (2)+≅ Λ+2. For a manifold with a G-structure P, a canonical complex is defined in order to formulate the theory of infinitesimal deformations of generalized instantons. A study is made of the exact conditions imposed on P by the existence of this complex, and an examination of these conditions leads one to distinguish classes of Riemannian manifolds characterized by alternatives to a holonomy reduction.